If the angel between unit vectors aandb600 , then find the value of ∣∣a−b∣∣˙
Statement 1: if three points P,QandR have position vectors a,b,andc , respectively, and 2a+3b−5c=0, then the points P,Q,andR must be collinear. Statement 2: If for three points A,B,andC,AB=λAC, then points A,B,andC must be collinear.
Constant forces P1=i^+j^+k^,P2=−i^+2j^−k^andP3=−j^−k^ act on a particle at a point A˙ Determine the work done when particle is displaced from position A(4i^−3j^−2k^)→B(6i^+j^−3k^)˙
If A,B,C,D are four distinct point in space such that AB is not perpendicular to CD and satisfies ABC˙D=k(∣∣AD∣∣2+∣∣BC∣∣2−∣∣AC∣∣2−∣∣BD∣∣2), then find the value of k˙
Find the resultant of vectors a=i^−j^+2k^andb=i^+2j^−4k^˙ Find the unit vector in the direction of the resultant vector.