If vectors `veca and vecb` are two adjacent sides of parallelograsm then the vector representing the altitude of the parallelogram which is perpendicular to `veca` is (A) `vecb+(vecbxxveca)/(|veca|^2)` (B) `(veca.vecb)/(|vecb|^2)` (C) `vecb-(vecb.veca)/(|veca|)^2veca` (D) `(vecaxx(vecbxxveca))/(|vecb|^2`

Options

A. `vecb+(vecbxxveca)/(|veca|^(2))`
B. `(veca.vecb)/(|vecb|^(2))`
C. `vecb-(vecb.veca)/(|veca|^(2))veca`
D. `(vecaxx(vecbxxveca))/(|vecb|^(2))`

Answer

a

Explanation

`Let , vec(OD) = tveca`
` vec(DB) = vecb - vecta`
`or (vecb -tveca) .veca= 0`
`or t = (vecb.veca)/(|veca|^(2))`
`vec(DB) = vecb- ((vecb.veca)veca)/(|veca|^(2))`