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Vector Algebra

Question
CBSEENMA12036158

The non−zero verctors straight a with rightwards arrow on top comma space straight b with rightwards arrow on top space and space straight c with rightwards arrow on topare related by straight a with rightwards arrow on top space equals space 8 straight b with rightwards arrow on top space and space straight c with rightwards arrow on top space equals space minus space 7 straight b with rightwards arrow on top.Then the angle between straight a with rightwards arrow on top space and space straight c with rightwards arrow on top is

  • 0

  • π/4

  • π/2

  • π

Solution

A.

0

D.

π

Since space straight a with rightwards arrow on top space equals space 8 straight b with rightwards arrow on top
straight c with rightwards arrow on top space equals space minus 7 straight b with rightwards arrow on top
therefore space straight a with rightwards arrow on top space and space straight b with rightwards arrow on top space are space like space vectors space and space straight b with rightwards arrow on top space and space straight c with rightwards arrow on top space are space unlike.
rightwards double arrow straight a with rightwards arrow on top space and space straight c with rightwards arrow on top space will space be space unlike