Write two different vectors having same magnitude.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If a=5i^−j^−3k^and b=i^+3j^−5k^then show that the vectors a+band a−bare perpendicular.
If θ is the angle between any two vectors a and b, then ∣∣a.b∣∣=∣∣a×b∣∣ when θ is equal to(A) 0 (B) 4π (C) 2π (D) π
Find the area of the parallelogram whose adjacent sides are determined by the vectors a=i^−j^+3k^ and b=2i^−7j^+k^.
Show that the points A(−2i^+3j^+5k^),B(i^+2j^+3k^)and C(7i^−3k^)are collinear.
Show that ∣a∣b+∣∣b∣∣ais perpendicular to ∣a∣b−∣∣b∣∣a, for any two nonzero vectors a and b.
Given that ab˙=0and a×b=0. What can you conclude about the vectors aand b.
Find the direction cosines of the vector joining the points A(1,2,3)andB(1,2,1), directed from A to B.
Find ∣a∣and ∣∣b∣∣, if (a+b)(a−b)˙=8and ∣a∣=8∣∣b∣∣