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Consider two vectors oversetrarra "and"...

Consider two vectors
`oversetrarra` "and" `oversetrarrb ` so that`|oversetrarra|=2,|oversetrarrb|=5 "and"|oversetrarraxxoversetrarrb|=8.` Suppose the angle between a and b is acute.
Prove that `oversetrarra.oversetrarrb=6`

Text Solution

Verified by Experts

`veca.vecb =|veca||vecb| cos theta`
`2xx5xx sqrt(1-sin^2 theta)`
`=10 sqrt(1-(16)/(25))=10xx3/5=6`
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