Let `veca=hatj-hatk and vecc=hati-hatj-hatk`. Then the vector `vecb` satisfying `vecaxxvecb+vecc=0 and veca.vecb=3` is (A) `-hati+hatj-2hatk` (B) `2hati-hatj+2hatk` (C) `hati-hatj-hatk` (D) `hati+hatj-2hatk`

Let veca =hatj-hatk and vecc =hati-hatj-hatk . Then the vector b satisfying veca xvecb+vecc =0 and veca.vecb = 3, is

If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk , then vecaxxvecb is

If vecA,vecB,vecC are three vectors respectively given by 2hati+hatk, hati+hatj+hatk and 4hati-3hatj+7hatk, then the vector vecR which satisfies the relations vecRxxvecB=vecCxxvecB and vecR.vecA=0 is (A) 2hati-8hatj+2hatk (B) hati-4hatj+2hatk (C) -hati-8hatj+2hatk (D) none of these

If vecA,vecB,vecC are three vectors respectively given by 2hati+hatk, hati+hatj+hatk and 4hati-3hatj+7hatk, then the vector vecR which satisfies the relations vecRxxvecB=vecCxxvecB and vecR.vecA=0 is (A) 2hati-8hatj+2hatk (B) hati-4hatj+2hatk (C) -hati-8hatj+2hatk (D) none of these

If veca=hati+hatj+hatk and vecb=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

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

If veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk calculate veca+vecb

If a=4hati+2hatj-hatk and vecb=5hati+2hatj-3hatk find the angle between the vectors veca+vecb and veca-vecb

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .