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

. (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 and the normal vector of BC, ii. the Cartesian equation of AD and the vector equation of CD, iii. the position vector of D.

(b) The three vertices A, B and C of a triangle have position vectors a = -2i + 4j + k, b = 4i + j + k and c = -7i + 6k respectively. Find the projection of the side AB onto the side BC. Hence, or otherwise, find the length of the altitude with the side BC as the base and the area of the triangle ABC.

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Expert Solution

Colby Messinger answered 1 year ago

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