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Angle of Intersection of Two Curves

If a unitvect...

Question

If a unit vector makes an angleswith with and an acute angle θ with, then find θ and hence, the compounds of.

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Solution

Let unit vector have (a₁, a₂, a₃) components.

⇒

Since is a unit vector, .

Also, it is given that makes angleswith with , and an acute angle θ with

Then, we have:

Hence, and the components of are.

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