Evaluate :

`veck . veci` =
( A ) 0
( B ) `vecj`

If points A (60 veci + 3vecj ) , B (40 veci - 8 vec j) and C ( a veci - 52 vecj ) are collinear then a is equal to

If veca=3veci-2vecj and vecb=2veci+3vecj , calculate (i) veca+vecb , (ii) veca-vecb , (iii) vecb-veca

The number of vectors of unit length perpendicular to the vectors veca = 2veci + vecj + 2veck and vecb = vecj + veck is:

Statement 1 : veca = 3 veci + p vecj +3veck and vecb = 2veci + 3vecj + qveck are parallel vectors if p = 9//2 and q =2 . Statement 2 : If veca= a_1 veci + a_2 vecj + a_3 veck and vecb = b_1 veci + b_2 vecj + b_3veck are parallel, then (a_1)/(b_1) = (a_2)/(b_2)= (a_3)/(b_3) .

If veca=veci + vecj , vecb=2vecj + veck , then value of veca.vecb is a) 2 b) -2 c) -3 d) 3

Let veca =veci -veck, vecb = xveci+ vecj + (1-x)veck and vecc =y veci +xvecj + (1+x -y)veck . Then veca, vecb and vecc are non-coplanar for

The distance between the line vecr=2hati-2hatj+3hat+lamda(veci-vecj+4veck) and the plane vecr.(veci+5vecj+veck)=5 is (A) 10/3sqrt(3) (B) 10/9 (C) 10/3 (D) 3/10

A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + veck and perpendicular to veci + vecj + veck is _______