Let `vec a = hati+hatj and vec b = 2 hat i - hat k`. The point of intersection of the lines `vec r xx vec a = vec b xx vec a and vec r xx vec b = vec a xx vec b` is

Let vec(a)= vec(i) + vec(j), vec(b)= 2vec(i) -vec(k) . Then the point of intersection of the lines vec(r ) xx vec(a) = vec(b) xx vec(a) and vec(r ) xx vec(b)= vec(a) xx vec(b) is

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

If veca = hat i - hat j + hat k, vec b = 2 hat i + hat j + 3 hat k , then (i) Find vec a + vec b , vec a - vec b and vec a. vec b . (ii) Find (vec a + vec b) xx (vec a - vec b) . (iii) Find a unit vector perpendicular to both vec a + vec b and vec a - vec b .

If veca = hati +hatj , vecb = 2hatj - hatk " and " vecr xx veca = vecb xx vec a , vecr xx vec b = veca xx vec b , then what is the value of (vec r)/(|vec r|)

If vec a and vec b are not perpendicular to each other and vec r xx vec a = vec b xx vec a, vec r. vec c = vec 0 then vec r =

Let veca=hat i-2 hat j+hat k, vecb=hat i-hat j+hat k and vec c is nonzero vector and vecb xx vec c= vec b xx vec a, vec a.vec c=0 . Find vecb.vec c .

Let veca=hat i-2 hat j+hat k, vecb=hat i-hat j+hat k and vec c is nonzero vector and vecb xx vec c= vec b xx vec a, vec a.vec c=0 . Find vecb.vec c .

If vec A = 2 hat i + 2 hat j - hat k and vec B = hat i + 4 hat j- 3 hat k then find (a) vec A * vec B (b) vec A xx vec B

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4