Question

if vectors A.B = /A×B/ then what is the angle between vector A and B​

Answer 1

Answer

Explanation:

The magnitude of a vector V is the square root of the dot product with itself, i.e. Thus, A*B = 0, making the angle between them 90 degrees.

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Answer 2

We know that,

A.B = AB cos(∅) ........(dot prod.)

and, A×B = AB sin(∅) ...….(cross prod)

*where ∅ is angle b/w A and B*

Now, It is given that:

A.B = A×B

=> AB cos(∅) = AB sin(∅)

=> cos(∅) = sin(∅)

=> tan(∅) = 1 = tan(π/4)

=> ∅ = π/4

Hence, the angle b/w vector A & B is π/4.