Class 12 Mathematics - Chapter 10: Vector Algebra MCQ Questions

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A 0 â‰¤ Î¸ â‰¤ Ï€

B 0 < Î¸ < Ï€

C 0 â‰¤ Î¸ â‰¤ (frac { Ï€ }{2})

D 0 < Î¸ < (frac { Ï€ }{2})

A x = -Î», y = -2Î», z = Î».

B x = -Î», y = 2Î», z = Î»

C x = Î», y = 2Î», z = -Î»

D x = 2Î». y = Î», z = Î»

A p = 3, q = 27.

B p = 6, q = (frac { 27 }{2})

C p = 3, q = (frac { 27 }{2})

D p = 6, q = 27

A (frac { 5Ï€ }{6})

B –(frac { Ï€ }{3})

C (frac { 2Ï€ }{3})

D (frac { Ï€ }{3})

B (frac { Ï€ }{2})

C (frac { Ï€ }{4})

A Î¸ = (frac { 2Ï€ }{3})

B Î¸ = (frac { Ï€ }{2})

C Î¸ = (frac { Ï€ }{3})

D Î¸ = (frac { Ï€ }{4})

A 4 square units.

B 2 square units

C 1 square unit

D (frac { 1 }{2}) square unit

A (frac { Ï€ }{2})

B (frac { Ï€ }{4})

A (frac { 3Ï€ }{4})

B (frac { 5Ï€ }{6})

C (frac { 2Ï€ }{3})

D (frac { Ï€ }{2})

A None of these.

B –(hat i) + (hat j) – 2(hat k)

C 5(hat i) – 7(hat j) + 12(hat k)

D (hat i) – (hat j) + 2(hat k)

A both the vectors (vec a) and (vec b) have the same direction, but different magnitudes.

B the respective components of (vec a) and (vec b) are proportional

C (vec a) = Â±(vec b)

D (vec b) = Î»(vec a) tor some scalar Î».

A (sqrt{ 21 })

B (sqrt{ 42 })

D (frac { 1 }{2}) (sqrt{ 42 })

A (sqrt {18})

B (sqrt {45})

C (sqrt {33})

D (sqrt {72})

A a = (frac { 1 }{|Î»|})

A None of these.

A (frac { Ï€ }{2})

B (frac { Ï€ }{3})

C (frac { Ï€ }{4})

D (frac { Ï€ }{6})

A (vec { AB}) – (vec { CB}) + (vec { CA}) = (vec { 0})

B (vec { AB}) + (vec { BC}) – (vec { CA}) = (vec { 0})

C (vec { AB}) + (vec { BC}) – (vec { AC}) = (vec { 0})

D (vec { AB}) + (vec { BC}) + (vec { CA}) = (vec { 0})

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Class 12 Mathematics - Chapter 10: Vector Algebra MCQ Questions

Your Class 12 Mathematics Study Path

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Class 12 Mathematics - Chapter 10: Vector Algebra MCQ Questions

Your Class 12 Mathematics Study Path

If Î¸ is the angle between two vectors (vec a), (vec b), then (vec a).(vec b) â‰¥ 0 only when

Let Î» be any non-zero scalar. Then for what possible values of x, y and z given below, the vectors 2(hat i) – 3(hat j) + 4(hat k) and x(hat i) – y(hat j) + z(hat k) are perpendicular:

The magnitude of the vector 6(hat i) + 2(hat j) + 3(hat k) is

If (2(hat i) + 6(hat j) + 27(hat k)) Ã— ((hat i) + p(hat j) + q(hat k)) = (vec 0), then the values ofp and q are?

If the vectors (vec a) = (hat i) – (hat j) + 2(hat k), (vec b) = 2(hat i) + 4(hat j) + (hat k) and (vec c) = Î»(hat i) + (hat j) + Âµ(hat k) are mutually orthogonal, then (Î», Âµ) =

The angle between the vectors (hat i) – (hat j) and (hat j) – (hat k) is

2(hat i) – (hat j) + 2(hat k) and 3(hat i) + Î»(hat j) + (hat k) are perpendicular is

If Î¸ is the angle between two vectors (vec a) and (vec b), then |(vec a).(vec b)| = |(vec a) Ã— (vec b)| when Î¸ is equal to:

(hat i).((hat j) Ã— (hat k)) + (hat j).((hat i) Ã— (hat k)) + (hat k).((hat i) Ã— (hat j)) is

Let (vec a) and (vec b) be two unit vectors and 6 is the angle between them. Then (vec a) + (vec b) is a unit vector if:

D(-(hat i) – (frac { 1 }{2}) (hat j) + 4(hat k)) is

The non-zero vectors (vec a), (vec b) and (vec c) are related by (vec a) = 8(vec b) and (vec c) = -7(vec b). Then the angle between (vec a) and (vec c) is

If (vec b) is not parallel to (vec c), then the angle between (vec a) and (vec b) is:

If [(vec a) Ã— (vec b) (vec b) Ã— (vec c) (vec c) Ã— (vec a)] = Î» [(vec a) (vec b) (vec c)]Â², then Î» is equal to

The vector with initial point P (2, -3, 5) and terminal point Q (3, -4, 7) is

If (vec a) and (vec b) are two collinear vectors, then which of the following are incorrect:

(vec a) = 3(hat i) + (hat j) + 4(hat k) and (vec b) = (hat i) – (hat j) + (hat k) is

If the vectors (bar { AB }) = 3(hat i) + 4(hat k) and (bar { AC }) = 5(hat i) – 2(hat j) + 4(hat k) are the sides ofa triangle ABC, then the length of the median through A is

If a is a non-zero vector of magnitude â€˜aâ€™ and Î»a non-zero scalar, then Î»(vec a) is unit vector if:

If |(vec a)| = 8, |(vec b)| = 3 and |(vec a) Ã— (vec b)|= 12, then value of (vec a).(vec b) is

Let the vectors (vec a) and (vec b) be such that |(vec a)| = 3 and |(vec b)| = (frac { âˆš2 }{3}), then (vec a) Ã— (vec b) is a unit vector if the angle between (vec a) and (vec b) is:

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