wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What is the angle between two vectors if the ratio of their dot product and cross product is√3?

Open in App
Solution

We cannot divide a quantity by a vector. As cross product of two vectors results in a vector, so ratio of dot product to cross product cannot be obtain. So the question must be written as “ ratio of the magnitudes of the dot product to the cross product”.

Let a and b be two vectors

a.b = abcosθ

|a×b| = absinθ

Given

a.b/|a×b| = √3

=> abcosθ/absinθ = √3

=>cosθ/sinθ = √3

=> cotθ = √3

=> θ = 300


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inradius and Exradius
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon