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If veca = xhati +2 hatj-zhatk and vecb...

If `veca` = `xhati +2 hatj-zhatk ` and `vecb` = `3hati -y hatj+hatk ` are two equal vecots then find the value of `x+y+z`

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Verified by Experts

The correct Answer is:
`a to p; q`
Projection of `vecalpha + betahatj " on" sqrt3hati+hatj " is" sqrt3`
`|alphahati + betahatj.((sqrt3hati+hatj)/2)|=sqrt3`
` Rightarrow sqrt3 alpha + beta = +- 2 sqrt3`
` Rightarrow sqrt3alpha+((alpha-2)/sqrt3)=+-2sqrt3`
` Rightarrow 3 alpha + alpha-2 = +-6`
` 4alpha =8,m -4`
` Rightarrow alpha 2,-1`
Note : solutions of the remaining parts are given in their respective chapters.
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