If `vec A=2hat i-3hat j+4hat k` ,its components in yz plane and zx plane are `P` and `Q sqrt(5)` .Then the value of `P+Q` is

If vec a=4hat i+6hat j and vec b=3hat j+hat k, then the component of vec a along vec b is

If vec a=4hat i+6hat j and vec b=3hat j+4hat k, then find the component of vec a and vec b .

The vector vec P=alphahat i+betahat j+gammahat k, alpha!=0 ,lies in the plane of the vector vec Q=hat i+hat j and vec R=hat i+hat k and bisects the angle between vec Q and vec R .Then the value of (3 beta+4 gamma)/(2 alpha) is

Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k is such that it is equally inclined to vec ba n d vec d where vec d= hat j+2 hat kdot The value of vec a is a. ( hat i+ hat j+ hat k)/(sqrt(2)) b. ( hat i- hat j+ hat k)/(sqrt(3)) c. (2 hat i+ hat j)/(sqrt(5)) d. (2 hat i+ hat j)/(sqrt(5))

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|

Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d vec c= hat i+ hat j-2 hat k be three vectors. A vector in the plane of vec ba n d vec c , whose projection on vec a is of magnitude sqrt(2//3) , is a. 2 hat i+3 hat j-3 hat k b. 2 hat i-3 hat j+3 hat k c. -2 hat i- hat j+5 hat k d. 2 hat i+ hat j+5 hat k

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

The line vec r=2hat i-2hat j+5hat k+lambda(hat i-3hat j+2hat k) intersects the plane 2x-3y+4z=163 at P and intersects the YZ plane at Q. If the distance PQ is 9sqrt(a) where a in N then a equals

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot A vector in the plane of vec a and vec b whose projection of c is 1//sqrt(3) is a. 4 hat i- hat j+4 hat k b. 3 hat i+ hat j+3 hat k c. 2 hat i+ hat j+2 hat k d. 4 hat i+ hat j-4 hat k

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k be threevectors.A vector in the plane of vec a and vec b whose projectionon vec c is (1)/(sqrt(3)), is given by