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If the magnitude of two vectors are 4 an...

If the magnitude of two vectors are 4 and 6 and the magnitude of their scalar product is `12sqrt2` what is the angle between the vectors?

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`A=4,B=6vecA.vecB=12sqrt12`
`vecA. vecBABcostheta`
`costheta=(vecA.vecB)/(AB)=(12sqrt12)/(4xx6)=(1)/(sqrt2)`
`cos theta=cos45^(@).`
`therefore theta=45^(@)`
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