Geometry question and answers for December 02, 2023
- Q What belongs in the box marked with the question mark in the proof below Statement 2 Given 3 is a right angle Prove 1 and 2 are complementary is a...
- Q Which represents the graph of the polygon and its reflection in the given axis S 7 2 T 2 2 U 6 7 y axis A 10 AID fig 10...
- Q 12 Vector u has components 3 2 2 and vector v has components 1 2 3 find the angle 8 between u and v and then find the component vector...
- Q Let f be the function shown below The function f has a domain of 8 1 and a range of 1 2 10 8 i Domain ii Range c Suppose...
- Q 6 Graphing a cosecant function using transformations 21 points csc 3x y 1 State the parent function y csc x 1 point 2 Give the full description of the transformations...
- Q (i) Calculate g(K7) and g(K11).(ii) Give an example of a complete graph of genus 2.
- Q A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to...
- Q Let T: R ? R be a linear transformation such that:T(1,0,0)=(4, -2, 1)T(0,1,0)=(5,-3,0)T(0,0,1)=(3,-2,0)Find T(3, -5,2).
- Q Given is the fact that the set of vectors a, b, c of a vector space is independent. Which of the following sets of vectors is/are dependent?5a+5b+4c, 5b+5c, -5a-10b-9ca, b,...
- Q Give the vector equation of a line perpendicular to the line 1: x=2t-1, y=-3t, t R. Are there otheranswers?
- Q Assume that T is a linear transformation. Find the standard matrix of T.T:R - R first rotates points through -5?/6 radians and then reflects points through the horizontal x?-axisA=(Type an...
- Q A vector has a magnitude of 20 in the 30 direction. What are the horizontal and vertical components of this vector?
- Q The lines r= (-3, 8, 1) + s(1, -1, 1), S?R, and r = (1, 4, 2) + t(-3, k, 8), t?R, intersect at a point.a. Determine the value of...
- Q Consider the following vectors: u= 0 v= 1 w= 1 x= 3 ...
- Q Determine the parametric equations of a line passing through the point P(3,2,-1) and with a direction vector perpendicular to the liner r=(2,-3,4) + s(1, 1,-2), s ? R.
- Q Darla purchased a new car during a special sales promotion by the manufacturer. She secured a loan from the manufacturer in the amount of $21,000 at a rate of 8%...
- Q Given: ?ABC, AB= 2,AC = 6, M and P are midpoints of AB and AC. m?BAC = 60 BP and CM intersect at O Using vectors without going to coordinates...
- Q The sales tax rate for the state of Washington was 9.3%. What is the sales tax on a $4,400 car in Washington? $__ What is the final cost of a...
- Q You want to put a 3 inch thick layer of topsoil for a new 25 ft by 29 ft garden. The dirt store sells by the cubic yard. How many...
- Q Three planes are defined as follows:-7x+ -2y+ -7z+ 30 = 0-6x+ -5y + -10z + 0 = 0-10x+ 6y + -7z+ 24 = 0Determine how these planes intersect. If they...
- Q Problem22. Triangle OAB has O = (0,0), B = (4, 0) and A in the first quadrant. In addition, ZABO = 90 and ZAOB = 60 . Suppose that OA...
- Q Indicate whether the following process will result in a vector or scalar quantity. If neither vector or scalar, choose meaningless.A. (? ? v) (? + v)B. (2u-v) (u.v).C. (Proj, (2u-v)-u).vD....
- Q Find ||u||, ||v||, and ||u + v||u=(-3, )? x = (4, - 1/4 )(a) ||u||(b) ||v||(c) ||u+v||
- Q Given v = 4i and w = 2i + 5j, find the angle between v and w.
- Q Obtain a vector v by rotating the vector u= 2 by 135 in the counter-clockwise direction. ...
- Q Use the given vectors to find vw and v.v.v=-81-4j, w = -9i - 6j
- Q Given v = 21-j and w=8i + 3j, find the angle between v and w.
- Q Find the magnitude ||v|| and the direction angle ? for the given vector v.v = -7i+ 12j
- Q Consider two vectors ? = (-3,2,-1) and ?= (1, -3, 2), evaluate the following:a) (A:1)?.?b) (A:1) Angle between ? and ?c) (A:2) ??d) (A:2)Proj??e) (A:1)Area of parallelogram produced by ?...
- Q Find lul, lvl, |1/2vl, lu+vl, lu-vl, and lul - vl.u = 4i + j, v = 5i - 2j
- Q Consider the following.U= (4,0), v= (7,9)(a) Find u. v.u v =(b) Find the angle between u and v to the nearest degree.? =
- Q Explain what a linear transformation is from the algebraic and geometric, showing the relationship between them.
- Q Find u - v, 2(u + 3v), and 2v - u.u = (6, -2, 7, 3), v = (-2,2/3,-7/3,-1)(a) u-v=(b) 2(u + 3v) =(c) 2v - u =
- Q Theorem 114. If a dilation has scaling factor 3, then the length ofevery segment PQ is multiplied by 3, that is, L(P'Q') = 3L (PQ).In the same way, we can...
- Q Let v? = [1 -1] and v? = [3 -2].be two vectors in R.(a) Determine whether v = [2 2] belongs to span{v?, v?}(b) Determine whether {v?, v?} are linearly...
- Q I have a class of 30 students. I can select a group of 4 students to present as a group, or I can choose 4 students to present one at...
- Q Prove that if a surface ? is diffeomorphic to thetorus, then??KdA = 0.
- Q Prove that if a surface ? is diffeomorphic to the torus, then?? KdA=0.
- Q A matrix with only one column and no rows is calledSelect one:a. Zero matrixb. Identity matrixc. Raw vector matrixd. Column vector matrix
- Q Let A ? R?*? with A - 4A +3In, = O (where O is the n x n zero matrix).(a) Show that A is invertible.(b) Find all possible eigenvalues of...
- Q Given points A(2; 2; -1), B(3; -1;1), C(4;1;2), D(1; -1; 1). Find...1. Scalar product of vectors AB and AC2. Angle between the vectors AB and AC3. Vector product of the...
- Q Vector u = PQ has initial point P (3, 17) and terminal point Q (9, 2). Vector v = RS has initial point R (30, 6) and terminal point S...
- Q You write each of the 26 letters of the alphabet on separate index cards.Part A; If you choose 3 cards at random without replacing them, what is the probability of...
- Q Let A be an invertible matrix and ? be an eigenvalue of A. Prove, using the definition ofan eigenvalue, that is 1/ ? an eigenvalue of A-. If A is...
- Q Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?1/1202/51/51/10
- Q Graph the circle x + y = 4.Plot the center. Then plot a point on the circle. If you make a mistake, you can erase your circle by moving the...
- Q Solve using the quadratic formula.5t +8t=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.t or t=
- Q Solve using the quadratic formula. -(3q) - (7q) = 0.Write your answers as integers, proper or improper fractions in simplest form, or decimalsrounded to the nearest hundredth. q= __ or...
- Q Example: The diagram shows a cuboid whose vertices are Q. A, B, C, D, E, F and G. Vectors a, b and c are the position vectors of the vertices...
- Q To be able to: Use vectors to solve generalised geometric problemsVectors are often used to prove general properties about geometric arrangements. In the following examples, no coordinates or specific vectors...
- Q Let L? be the line passing through the point P?=(-1, 0, 6) with direction vector d?[-1-3,-1, 1]?, and let L? be the line passing through the point P?=(7, 3, 11)...
- Q A class consists of 60 % men and 40% women. Blond men compose 25% of the class, and blond women make up 20% of the class. If a student is...
- Q Suki is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 6 quarts. If she fills both containers, how many...
- Q A bicycle is traveling at 21 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth of a foot
- Q In R4, consider the inner product(x, y) = x1y1 + 5x2y2 + x3y3 + 3x4y4.Let V be the nullspace ofA = [1 0 1 -10 1 -1 2]a. The dimension...
- Q (1) Is A similar to a diagonal matrix? If so, find a matrix B which diagonalize A.(2) Find the eigenvalues and bases for the eigenspaces of A
- Q Given the vectors (1, 0, 1) and (1, 2, -3). Write the steps necessary to show that these vectors form a basis for R. If the vectors do not form...
- Q Vector u has initial point at (8, 6) and terminal point at (-6, 12). Which are the magnitude and direction of u?
- Q Every vector of P? is also a vector of P3.Select one:TrueFalseLet W be the set of vectors of the form A = a b of M2x2. The set W is...
- Q The set S = {V1, V2, V3} where v? = (-1, 1, 1), v? = (1, -1, 1), v3 = (1, 1, -1) is a basis for R. the vector...
- Q In each answer choice a point is given along with a glide reflection. Which of the following is correctly stated?Select the correct answer below:(2,7) glide reflected along V =< 0,2>...
- Q Given the vector v =-3/?3,1; find thedirection angle of this vector.a) 5?6b) 2?3c) -?3d) ?6e) 0f) None of the above.
- Q Let A=(2,2,3), B=(5,-1,4) and C=(1,7,5).a) Find whether vectors A, B and C are linearly dependent/independent.b) Find ker(M) where columns of matrix M are vectors A, B and C.
- Q The initial and terminal points of vector v are (2, -6) and (8, 1), respectively.(a) Write v in component form.(b) Write v as the linear combination of the standard unit...
- Q 5) Find the equation of the hyperbola based on the given information:A) Vertices V(2, -3) and V'(2, 7); one focus at F(2,-5)B) Foci at F(-2, 3) and F'(-2,9); one vertex...
- Q The planes 3x + 4y + 4z = -25 and 2z - (4x + 5y) = 3 are not parallel, so they must intersect along a line that is common...
- Q Given vectors a = (5, 3, 1) and b = (-1,3,-2), calculate the following:1.3a-bII. a bIII. a x bIV. proja b
- Q Over a two hour time period a snail moved 46 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest...
- Q A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters? Do not round your answer. Be sure to include...
- Q Subtract. Write your answer as a mixed number in simplest form.
- Q The price of a condominium is $132,000. The bank requires a 5% down payment and one point at the time of closing. The cost of the condominium is financed with...
- Q Let = (-3, 4) and b = (5,-2).Find the projection of b onto a.proja b =
- Q Find an equation of the plane. the plane through the point (1, 8, 3) and with normal vector 4i + 3j + 5k
- Q Find the coordinate vector of w relative to the basis S = (u?, u?) for R2. Let u?=(4,-5), u? = (5, 7), w = (1,1).(w)s=
- Q Add the given vectors by components.A=380, ?A=220.9B=233, ?B=294.2
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