The magnetude of vector product of two vectors is ✓3 times it's scalar product what is the angle b/t them?

1 Answer
Jun 28, 2018

#pi/3#

Explanation:

Using the definitions:

  • #bb a times bb b = abs bb a abs bb b sin phi \ bb hat n#

# implies abs ( bb a times bb b) = abs bb a abs bb b abs(sin phi)#

  • #bb a * bb b = abs bb a abs bb b cos phi#

#implies abs ( bb a times bb b) /(bb a * bb b) = sqrt3 = tan phi ", assuming" sin phi gt0#

#arctan (sqrt3) = pi/3#