Basic Math question and answers for October 26, 2024
- Q A vector w has initial point (5,-2) and terminal point (-1, -3).Write w in component form.W =
- Q Find the direction angle of the vector u = -7i+4j. That is, find the angle between 0 and 360 that u makes with the positive x-axis (measured counterclockwise), when u...
- Q Find the unit vector in the direction of (15, 8).
- Q A vector u has initial point (5, 4) and terminal point (4, -2).Write u in the form u = ai + bj.
- Q Given vectors a = (4, -5) and b=(3, 6), find 5a-3b.
- Q A vector t has initial point (3,-6) and terminal point (4,-2).
- Q Find the direction angle of the vector v=-3i-8j. That is, find the angle between 0 and 360 that v makes with the positive x-axis (measured counterclockwise), when v is in...
- Q Find the unit vector in the direction of (-8,-6).Write your answer in component form.Do not approximate any numbers in your answer.
- Q A vector s has initial point (5,-2) and terminal point (-1, -3).Writes in the form s = ai + bj.
- Q At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 19 knots....
- Q Two kickers are having a kicking competition to see who kicks farther. Bill kicks his ball with an initial velocity of 70 ft/sec at an angle of 38. Ben kicks...
- Q Two vessels are pulling a broken-down ship toward a boathouse with forces of 750 lb and 630 lb. The angle between the forces is 34.5. Determine the magnitude of the...
- Q To avoid a storm, a pilot leaves airport A and flies at a bearing of 172. He travels for oneand one-half hours at a speed of 650 mph. At the...
- Q Find the equation of the line and write in the specified form:a. the line parallel to d = (2, 3) that hits the point (1,4), in parametric form.b. the line...
- Q In Exercises 5-12, let P = (-2, 2), Q = (3, 4), R = (-2, 5), and S = (2, -8). Find the component form and magnitude of the vector.9....
- Q A jet leaves an airport at 3:00 pm with a course of 150 and a speed of 510 mph. At 5:00 pm,the jet pilot changes the course to 210 and...
- Q Given the points (-5, -4) and P(-3,7), determine the position vector of PQ.Select the correct answer below:(-2,11)(11,2)(-11, -2)(2,11)(-11,2)(-2,-11)
- Q Given the points C(-3,-1) and D(-1,-6), express the vector CD in terms of i and j.Select the correct answer below:- 2i - 5j2i - 5j-5i +2j2i + 5j-2i+ 5j5i-2j
- Q Given u = (-6, -2) and 7 = (-3, 4), find the dot product u v.Give just a number for your answer. For example, if you found u = 4,...
- Q Sketch each pair of vectors below on a pair of coordinate axes and find the angle between the two vectors. Make sure to label each vector using the correct notation:a....
- Q If two vectors are perpendicular to each other, their cross product must be zero.TrueFalse
- Q Construct the vector 0.7 s + 1.2 t having initial point P.(Use the tools provided to move and scale the given vectors; then don't forget to draw your final answer.)
- Q Let P = (3, 1, -2), Q = (1, t+1, 2), and R = (11, t+1,4). For which values of t will the angle between the vectors PQ and PR...
- Q (a) Find the intercepts of the graph of the equation.(b) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.(c) Graph the equation by plotting...
- Q A plane has normal vector n = < 1, 1, -1 > and passes through P(0, 2, -3)a. Find an equation for the plane:b. Find the intercepts of the plane....
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