Exam (elaborations)
VECTORS MCQ
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CHAPTER 10VECTORS
MULTIPLE CHOICE TYPE QUESTIONS
1 A vector equally inclined to axes is
2 If |a⃗ | = 4 and -3 ≤ λ ≤ 2 then the range of |λa⃗ | is
(a) [0, 8] (b) [-12, 8] (c) [0, 12] (d) [8, 12]
3 For what value of ‘a’ the vectors are collinear?
(a) 2 (b) - 4 (c) 4 (d) - 2
4 ABCDEF is a regular hexagon, If
then is
(a) (b) (c) (d)
5 The value of for which the vectors are orthogonal is
(a) 12 (b) - 14 (c) 14 (d) - 12
6 The angle between the vectors is
(a) 0 (b) (c) (d)
7 If p⃗ is a unit vector and
(a) 9 (b) (c) - 9 (d)
8 If the vectors are coplanar then the value of is
(a) 2 (b) - 4 (c) 4 (d) - 2
9 The area of the parallelogram having diagonals is
(a) 12 (b) 364 (c) 10 (d)
10 The unit vector perpendicular to both the
is
(a) (b) (c) (d)
11 The value of is
(a) 1 (b) - 1 (c) 0 (d) - 2
12 The value of is
(a) 2 (b) - 1 (c) 1 (d) - 2
13 If the vectors are parallel then the value of p is
(a) 3/2 (b) – 3/2 (c) 2/3 (d) –
14 If then the angle between is
(a) 300(b) 600(c) 450(d) 900
ZIET, BHUBANESWAR Page 1
, 15 If are two unit vectors and is the angle between them then is
(a) 1 + cos (b) 1 - sin (c) 1 + sin (d) 1 - cos
16 A vector in the direction of a⃗ = −2 whose magnitude is 7
(a) (b) (c) ) (d)
17 The position vector of a point which divides the join of points with position vectors + and 2 -
in the ratio 1:2 internally is
(a) (b) (c) (d)
18 A vector in the direction of vector – 2 +2 that has magnitude 15 is
(a) – 2 +2 (b) 5 ( – 2 +2 (c) 5 – 2 + 2 (d) – 5 +2
19 If . = . and x = x , , then
(a) = (b) = (C) + = (d) =
20 If lies in the plane of vectors and , then which of the following is correct?
(a) [ ]=0 (b) [ ] = 1 (C) [ ] = 3 (d)[ ]=1
21 The vector cos X cos Y + cos X sinY + sinX is a
(a) Null vector (b) Unit vector(c) Constant vector (d)None of these
22 ABCD is a parallelogram with AC and BD as diagonals. Then, - =
(a) 4 (b) 3 (c) 2 (d)
23 If [ 2 +4 ] = m[ ] +n[ ], then m + n =
(a) 8(b) – 6 (c) 10 (d) 6
24 If the vectors 2 – 3 +4 , +2 - and x – +2 are coplanar, then x =
(a) 0(b) 5/8 (c) 8/5(d)1
25 For every point P ( x, y, z ) on the xy – plane,
(a) x = 0(b) y = 0 (c) z = 0(d)none of these
26 The position vector of the point (1, 0, 2) is
(a) i⃗ +j⃗ + 2k⃗ (b) i⃗ + 2j⃗ (c) 2⃗ + 3k⃗ (d) i⃗ + 2K
27 The vector a and b satisfy the equation 2a+b=p and a+2b=q where p= i+j and q=i-j If θ is the
ZIET, BHUBANESWAR Page 2
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