Vectors a cap+2b cap and 5 a cap -4 b cap are mutually perpendicular then the angle between a and b
Answers
Answered by
0
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
Theta=pi/3 or 60 degrees
Similar questions