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If ABC is a right angled triangle wit...

If ABC is a right angled triangle with hypotenuse AB=P. Then `vecAB. vecAC+ vecBC. vecBA + vecCA. vecCB= mp^(2)`. Find m.

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The correct Answer is:
1
`vecAB. vecAC + vecBC. vecBA + vecCA . vecCB = mp^(2)`
`p cos theta x" "(p sin theta)y" "theta= 90^(@)`
`" "p cos theta x + p sin theta y + -0 mp^(2)`
`p cos theta. pcos theta + p sin theta - p sin theta = mp^(2)`

`p^(2) ( cos^(2) theta + sin^(2) theta) = mp^(2)`
`" "m= 1`
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