Find the values of x, y and z so that the vectors a=xi^+2j^+zk^and b=2i^+yj^+k^are equal.
The vectors 2i+3j^,5i^+6j^ and 8i^+λj^ have initial points at (1, 1). Find the value of λ so that the vectors terminate on one straight line.
Find the least positive integral value of x for which the angel between vectors a=xi^−3j^−k^ and b=2xi^+xj^−k^ is acute.
Prove that the resultant of two forces acting at point O and represented by OB and OC is given by 2OD ,where D is the midpoint of BC.
Four non –zero vectors will always be a. linearly dependent b. linearly independent c. either a or b d. none of these
Show that the point A,B and C with position vectors a =3i^ - 4j^ -4k^ = 2i^ j + k^ and c = i^ - 3j^ - 5k^ , respectively from the vertices of a right angled triangle.