P and Q are two non-zero vectors inclined to each other at an angle 'fJ. 'p' and 'q' are unit vectors along P and Q respectively. The component of Q in the direction of Q will be

Suppose that vec p, vec q and vec r are three non-coplanar vectors in R^3. Let the components of a vector vec s along vec p, vec q and vec r be 4, 3 and 5, respectively. If the components of this vector vec s along (-vec p+vec q +vec r), (vec p-vec q+vec r) and (-vec p-vec q+vec r) are x, y and z, respectively, then the value of 2vec x+vec y+vec z is

Suppose that vec(p), vec(q) and vec(r) are three non-coplanar vectors in R. Let the components of a vector vec(s) along vec(p), vec(q) and vec(r) be 4, 3 and 5 respectively. If the components of this vector vec(s) " along" (-vec(p) + vec(q) + vec(r)), (vec(p) - vec(q) + vec(r)) and (-vec(p) - vec(q) + vec(r)) are x,y and z respectively, then the value of 2x + y + z is

Two vectors vec P and vec Q are inclinded to each other at 60^(@) . The magnitude of vec P and vec Q are 10 and 15 units respectively. What is the angle (alpha) made by their resultant vec R" with "vec P ?

If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms of unit vectors hati and hatj also, find distance between point P and Q . What is the unit vector in the direction of PQ ?

If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms of unit vectors hati and hatj also, find distance between point P and Q . What is the unit vector in the direction of PQ ?

Find the unit vector in the direction of vector vecP Q , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Find the unit vector in the direction of vector vec P Q , where P and Q are the points (1,2,3) and (4,5,6), respectively.

Find the unit vector in the direction of vector vec P Q , where P and Q are the points (1,2,3) and (4,5,6), respectively.

If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-r]= . . .

If P, Q, R are the mid-points of the sides AB, BC and CA respectively of a triangle ABC and a, p, q are the position vectors of A,P,Q respectively, then what is position vector of R?