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
Mar 20, 2018
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))#
