Let `veca=hati+2hatjandvecb=2hati+hatj`. Is `|veca|=|vecb|`? Are the vectors `vecaandvecb` equal?

If veca=4hati+6hatj and vecb=3hatj+4hatk find the vector component of veca alond vecb .

A vector vecd is equally inclined to three vectors veca=hati-hatj+hatk,vecb=2hati+hatj and vecc=3hatj-2hatk. Let vecx,vecy and vecz be three vectors in the plane of veca,vecb;vecb,vec;vecc,veca, respectively. Then

A vector vecd is equally inclined to three vectors veca=hati-hatj+hatk,vecb=2hati+hatj and vecc=3hatj-2hatk. Let vecx,vecy and vecz be three vectors in the plane of veca,vecb;vecb,vec;vecc,veca, respectively. Then

If veca=3hati-2hatj+hatk and vecb=2hati-4hatj+hatk then find |veca-2vecb|.

Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection of the lines vecrxxveca=vecbxxveca and vecrxxvecb=vecaxxvecb is

A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + 2hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

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

Let veca=-hati+hatj+hatk, vecb=2 hati+hatk and vector vecc satisfying conditions (i) [veca vecb vecc]=0 (ii). vecb.vecc=0 (iii) veca.vecc=7 Then the value of 2/7|barc|^2 is equal to

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

Statement 1: Vector vecc = 5hati + 7 hatj + 2hatk is along the bisector of angle between veca = hati + 2hatj + 2hatk and vecb = -8 hati + hatj - 4hatk . Statement 2 : vecc is equally inclined to veca and vecb .