**NCERT Exemplar Problems Class 12 Mathematics Chapter 10 Vector Algebra**

**Short Answer Type Questions**

**3. Find a unit vector in the direction of PQ, where P and Q have co-ordinates (5,0, 8) and (3, 3,2), respectively.**

**5. Using vectors, find the value of k such that the points (k, -10, 3), (1, -1, 3) and (3, 5, 3) are collinear.**

**13. Using vectors, find the area of the triangle ABC with vertices A(l, 2, 3), 5(2, -1, 4) and C(4,5,-l).**

**14. Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.**

**Long Answer Type Questions**

**Objective Type Questions**

**Fill in the Blanks Type Questions**

**True/False Type Questions**

**42. Position vector of a point P is a vector whose initial point is origin.**