Find the vector joining the points P(2,3,0)and Q(1,2,4)directed from P to Q.
If a,b are two non-collinear vectors, prove that the points with position vectors a+b,a−b and a+λb are collinear for all real values of λ˙
If b is a vector whose initial point divides thejoin of 5i^and5j^ in the ratio k:1 and whose terminal point is the origin and ∣∣b∣∣≤37,thenk lies in the interval a. [−6,−1/6] b. (−∞,−6]∪[−1/6,∞) c. [0,6] d. none of these
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.
Find the resultant of vectors a=i^−j^+2k^andb=i^+2j^−4k^˙ Find the unit vector in the direction of the resultant vector.
If α+β+γ=aδandβ+γ+δ=bα,αandδ are non-colliner, then α+β+γ+δ equals a. aα b. bδ c. 0 d. (a+b)γ