The magnitude of two vectors `vecA and vecB` is 3 and 4 respectively . If `vecAxxvecB=5hati+6 hatj-7hatk`. Calculate the angle between `vecA and vecB`.

Explanation

To find the angle between the two vectors \(\vec{A}\) and \(\vec{B}\), we can use the relationship between the cross product of two vectors and the sine of the angle between them. The formula for the magnitude of the cross product is given by:

\[ |\vec{A} \times \vec{B}| = |\vec{A}| |\vec{B}| \sin \theta \]

Where:
- \(|\vec{A}|\) is the magnitude of vector \(\vec{A}\),
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