Relative to origin the position vector of the point A,B,C are given by OA=(2i 3j 5k),OB=(4i 2j 3k),OC=(10i 0j 6j) the point D is such that ABCD is a parallelogram find position vector of D.?

1 Answer
Jim G.
Mar 20, 2018

uld=((8),(1),(8))

Explanation:

vec(AB)=ulb-ula

color(white)(vec(AB))=((4),(2),(3))-((2),(3),(5))=((2),(-1),(-2))

"Since ABCD is a parallelogram then"

vec(DC)=vec(AB)=((2),(-1),(-2))

rArrulc-uld=((2),(-1),(-2))

rArruld=((10),(0),(6))-((2),(-1),(-2))=((8),(1),(8))

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