Find the unit vector in the direction of the sum of the vectors, →a=2i^+2j^−5k^and →b=2i^+j^+3k^.
If in parallelogram ABCD, diagonal vectors are AC=2i^+3j^+4k^ and BD=−6i^+7j^−2k^, then find the adjacent side vectors AB and AD
Examine the following vector for linear independence: (1) i+j+k,2i+3j−k,−i−2j+2k (2) 3i+j−k,2i−j+7k,7i−j+13k
If the resultant of two forces is equal in magnitude to one of the components and perpendicular to it direction, find the other components using the vector method.
Find a vector magnitude 5 units, and parallel to the resultant of the vectors a=2i^+3j^−k^ and b=i^−2j^+k^˙
If A(−4,0,3)andB(14,2,−5), then which one of the following points lie on the bisector of the angle between OAandOB(O is the origin of reference )? a. (2,2,4) b. (2,11,5) c. (−3,−3,−6) d. (1,1,2)