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  3. . (a) abcd is a parallelogram. if the position vec

. (a) ABCD is a parallelogram. If the position vectors of A, Band C are 4i...

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Advance Math

. (a) ABCD is a parallelogram. If the position vectors of A,Band C are 4i + 8j, 3i + 6j and
-5i - 2j respectively, find i. the direction vector of AB andthe normal vector of BC, ii. the Cartesian equation of AD and thevector equation of CD, iii. the position vector of D.
(b) The three vertices A, B and C of a triangle have positionvectors a = -2i + 4j + k, b = 4i + j + k and c = -7i + 6krespectively. Find the projection of the side AB onto the side BC.Hence, or otherwise, find the length of the altitude with the sideBC as the base and the area of the triangle ABC.

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