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Vectors a cap+2b cap and 5 a cap -4 b cap are mutually perpendicular then the angle between a and b |
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Answer» As the two vectors are perpendicular, Their DOT product is zero (a+2b)(5a-4b)=0 5a^2+6abcos(theta)-8b^2=0 (COSTHETA is angle between acap and bcap) As you mentioned acap and bcap, it means that they are unit vectors and have magnitude 1. 5+6costheta-8=0 Costheta=3/6=1/2 |
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