# Multiple choice (Vectors) Choose and write the correct option in the following question.(vectors multiple choice)

1.) The value of the expression is

(a) (b) (c) (d) 2.) The area of the triangle formed by vertices O, A, B where and is

(a) sq.units           (b) sq.units

(c) sq.units            (d) 4 sq.units

3.) If θ is the angle between two vectors and then only when

(a) (b) (c) (d) 4.) If θ is the angle between any two vectors and then , where θ is equal to

(a) 0                          (b) π/4

(c) π/2                       (d) π

5.) The vector of the direction of the vector that has magnitude 9 is

(a) (b) (c) (d) 6.) The position vector of the point which divides the joining of points and in the ratio 3:1 is

(a) (b) (c) (d) 7.) The vector having initial and terminal points as (2, 5, 0) and (-3, 7, 4) respectively is

(a) (b) (c) (d) 8.) The angle between two vectors and with magnitude √3 and 4 respectively and is

(a) π/6                   (b) π/3

(c) π/2                   (d) 5π/8

9.)  The value of λ such that the vectors and are ortogonal is

(a) 0                     (b) 1

(c) 3/2                  (d) -5/2

10.) The value of λ for which the vectors and are parallel is

(a) 2/3                  (b) 3/2

(c) 5/2                   (d) 2/5

11.) The vectors from origin to the points A and B are and .respectively then the area of triangle OAB is

(a) 340                  (b) √25

(c) √(229)              (d) 1/2√(229)

12.) For any vector , the value of is equal to

(a) (b) (c) (d) 13.) If and , then value of is

(a) 5                        (b) 10

(c) 14                       (d) 16

14.) The projection of vector on the vector is

(a) (b) (c) (d) 15.) If are unit vectors such that , then the value of is

(a) I                         (b) 3

(c) -3/2                   (d) None of these

16.) Projection vector of on is

(a) (b) (c) (d)

(d) 17.) If and are three vectors such that and then value of is

(a) 0                 (b) 1

(c) -19               (d) 38

18.) If and -3 ≤ λ ≤ 2, then the range of is

(a) [0, 8]             (b) [-12, 8]

(c) [0, 12]             (d) [8, 12]

19.) The number of vectors of unit length perpendicular to the vectors and is

(a) one                 (b) two

(c) three               (d) Infinite

20.) The position vector of the point which divides the jpin of points with position vectors and in the ratio 1:2 is

(a) (b) (d) (d)   