NCERT Solutions for class 12 Maths | Chapter 10 - Vector Algebra

(1) The points with position vectors (2. 6), (1, 2) and (a, 10) are collinear if the of a is
[A] -8
[B] 4
[C] 3
[D] 12
Answer: 3
(2)
[A] 1
[B] √3
[C] 0
[D] None of these
Answer: √3

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(3)
[A] 0
[B] π/2
[C] π/4
[D] π
Answer: 0
(4) If be two unit vectors and 0 is the angle between them, then is equal to
[A]
[B]
[C]
[D]
Answer:
(5) If ABCDEF is a regular hexagon then equals
[A] Zero
[B]
[C]
[D]
Answer:
(6) The angle between the vector is
[A] π/2
[B] π/4
[C] π/3
[D] 0
Answer: π/2
(7)
[A]
[B]
[C]
[D]
Answer:
(8) then the angle between
[A] π/2
[B] 0
[C] π/4
[D] π/6
Answer: π/2
(9) According to the associative lass of addition of addition of sector

[A]
[B]
[C]
[D]
Answer:
(10) If be the position vector of the points A, B and C respectively, then
[A] The A, B and C are collinear
[B] A, B and C are not colinear
[C]
[D] None of these
Answer: The A, B and C are collinear
(11)
[A] π/6
[B] π/3
[C] π/2
[D] 5π/2
Answer: π/3
(12) The projection of the vector on the line joining the points (3, 4, 2) and (5, 6,3) is
[A] 2/3
[B] 4/3
[C] –4/3
[D] 5/3
Answer: 4/3
(13)
[A] 8
[B] 7
[C] 4
[D] 2
Answer: 7
(14)
[A] 0
[B] 1
[C]
[D] 2
Answer:
(15)
[A] 0
[B] 1
[C]
[D]
Answer:
(16) Three points (2, -1, 3), (3, – 5, 1) and (-1, 11, 9) are
[A] Non-collinear
[B] Non-coplanar
[C] Collinear
[D] None of these
Answer: Collinear
(17) The points with position vectors are collinear if
[A] a = -40
[B] a = 40
[C] a = 20
[D] None of these
Answer: a = -40
(18) If O is origin and C is the mid point of A (2, -1) and B (-4, 3) then the value of is
[A]
[B]
[C]
[D]
Answer:
(19) If are three vectors such that and
[A] 0
[B] 1
[C] -19
[D] 20
Answer: -19
(20) The value of λ for which the vectors are parallel is
[A] 2/3
[B] 3/2
[C] 5/2
[D] –2/5
Answer: 2/3

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