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Question

The vectors b and c are in the direction of north-east and north-west respectively and |b|=|c|=4. The magnitude and direction of the vector d = c - b, are


  1. 42, towards north

  2. 42, towards west

  3. 4, towards east

  4. 4, towards south


Solution

The correct option is B

42, towards west


Clearly, bc,b.c=0
Now, d = c - d |d|2=|cb|2
=|c|2+|b|22b.c=16+160
|d|=32=42 and direction of d is west.

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