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if |axb|2+|a.b|2=400 then write the value of |b| - Mathematics

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Sum

if `|vecaxxvecb|^2+|veca.vecb|^2=400 ` and `|vec a| = 5` , then write the value of `|vecb|`

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Solution

`|vecaxxvecb|^2+|veca.vecb|^2=400 `

 `=>{|veca||vecb|sintheta}^2+{|veca||vecb|costheta}^2=400`

 `=>|veca|^2|vecb|^2sin^2theta+|veca|^2|vecb|^2cos^2theta=400`

`=>|veca|^2|vecb|^2=400`

 `=>25xx|vecb|^2=400`

`=>|vecb|^2=16`

`=>|vecb|=4`

Concept: Vectors Examples and Solutions
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