Let veca=2hati-hatj+hatk , vecb= hati+2h...

Let `veca=2hati-hatj+hatk , vecb= hati+2hatj-hatk and vec c= hati+hatj-2hatk` be three vectors . A vector in the plane of `vecb and vecc` whose length of projection on `veca` is of `sqrt(2/3)` is

`2 vec i + 3 vec j - 3 vec k`

`2 vec i + 3 vec j + 3 vec k`

`-2 vec i - vec j + 5 vec k`

`2 vec i + j + 5 vec k`

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Let veca=2hati=hatj+hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2hatk be three vectors . A vector in the pland of vecb and vecc whose projection on veca is of magnitude sqrt((2/3)) is (A) 2hati+3hatj+3hatk (B) 2hati+3hatj-3hatk (C) -2hati-hatj+5hatk (D) 2hati+hatj+5hatk

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals

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If veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=rhati+hatj+(2r-1)hatk are three vectors such that vecc is parallel to the plane of veca and vecb then r is equal to,

Let veca=hati+2hatj +hatk, vec=hati-hatj+hatk and vecc=hati+hatj-hatk . A vector in the plane of veca and vecb whose projection on vecc is 1/sqrt(3) is (A) 4hati-hatj+4hatk (B) hati+hatj-3hatk (C) 2hati+hatj-2hatk (D) 4hati+hatj-4hatk

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