Learn Maths Vectors, Class 12 Maths Vectors Exercise, Free Online Vectors Lessons

Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Vectors. Students can understand Vectors concept easily and consolidate their learning by doing Online Practice Tests on Maths,Vectors chapter repeatedly till they excel in Class 12, Vectors. Free ONLINE PRACTICE TESTS on Class 12, Vectors comprise of Hundreds of Questions on Vectors, prepared by the highly professionals team. Every repeat test of Vectors will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Vectors. Attempt ONLINE TEST on Class 12,Maths,Vectors in Academics section after completing this Vectors Question Answer Exercise.

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Vectors

If the position vectors of the points A, B, C be vector a, vector b, [3(vector a) - 2(vector b)] respectively, then the points A, B, C are?

a) Non-collinear
b) Collinear
c) Forming a right angled triangle
d) None of these

✔Answer

Correct Answer Is : Collinear

Solution Is :

Let vector a, vector b, and vector c be three non-zero vectors, no two of which are collinear. If the [vector a + 2(vector b)] is collinear with vector c and [vector b + 3(vector c)] is collinear with vector a, then [vector a + 2(vector b) + 6(vector c)] is equal to ?

a) λ (vector a)
b) Zero vector
c) λ (vector b)
d) λ (vector c)

✔Answer

Correct Answer Is : Zero vector

Solution Is :

Vector a and vector b are two non-collinear vectors, then [x(vector a) + y(vector b)] (where x and y are scalars) represents a vector which is?

a) Parallel to vector a
b) Parallel to vector b
c) Coplanar with vector a and vector b
d) None of these

✔Answer

Correct Answer Is : Coplanar with vector a and vector b

Solution Is :

A, B, C, D, E are five coplanar points, then vector DA + vector DB + vector DC + vector AE + vector BE + vector CE = is equal to?

a) 4(vector DE)
b) 2(vector DE)
c) Vector DE
d) 3(vector DE)

✔Answer

Correct Answer Is : 3(vector DE)

Solution Is :

Area of the parallelogram whose diagonals are vector a and vector b is?

a) (vector a) . (vector b)
b) 1/2 |vector a * vector b|
c) |vector a * vector b|
d) Vector a + vector b

✔Answer

Correct Answer Is : 1/2 |vector a * vector b|

Solution Is :

If vector a and vector b are unit vectors such that (vector a * vector b) is also a unit vector, then the angles between vector a and vector b is?

a) π
b) π/2
c) π/3
d) 0

✔Answer

Correct Answer Is : π/2

Solution Is :

The number of vectors of unit length perpendicular to vectors vector a = (1, 1, 0) and vector b = (0, 1, 1) is?

a) Two
b) One
c) Three
d) Infinite

✔Answer

Correct Answer Is : Two

Solution Is :

If (vector a * vector b)^2 + [(vector a) . (Vector b)]^2 = 144 and |vector a| = 4, then |vector b| = ?

a) 3
b) 12
c) 8
d) 16

✔Answer

Correct Answer Is : 3

Solution Is :

[2(vector a) + 3(vector b)] * [5(vector a) + 7(vector b)] = ?

a) 7(vector a) + 10(vector b)
b) Vector a + vector b
c) Vector b * vector a
d) Vector a * vector b

✔Answer

Correct Answer Is : Vector b * vector a

Solution Is :

Let vector a, vector b, vector c be three vectors such that vector a ≠0, and [(vector a * vector b) = 2(vector a) * vector c], |vector a| = |vector c| = 1, |vector b| = 4 and |vector b * vector c| = √15. If [vector b - 2(vector c)] = λ (vector a), then λ is equal to?

a) -2
b) ±4
c) 1
d) 3

✔Answer

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Class 12 Maths Study Material

Vectors

If the position vectors of the points A, B, C be vector a, vector b, [3(vector a) - 2(vector b)] respectively, then the points A, B, C are?

Correct Answer Is : Collinear

Solution Is :

Let vector a, vector b, and vector c be three non-zero vectors, no two of which are collinear. If the [vector a + 2(vector b)] is collinear with vector c and [vector b + 3(vector c)] is collinear with vector a, then [vector a + 2(vector b) + 6(vector c)] is equal to ?

Correct Answer Is : Zero vector

Solution Is :

Vector a and vector b are two non-collinear vectors, then [x(vector a) + y(vector b)] (where x and y are scalars) represents a vector which is?

Correct Answer Is : Coplanar with vector a and vector b

Solution Is :

A, B, C, D, E are five coplanar points, then vector DA + vector DB + vector DC + vector AE + vector BE + vector CE = is equal to?

Correct Answer Is : 3(vector DE)

Solution Is :

Area of the parallelogram whose diagonals are vector a and vector b is?

Correct Answer Is : 1/2 |vector a * vector b|

Solution Is :

If vector a and vector b are unit vectors such that (vector a * vector b) is also a unit vector, then the angles between vector a and vector b is?

Correct Answer Is : π/2

Solution Is :

The number of vectors of unit length perpendicular to vectors vector a = (1, 1, 0) and vector b = (0, 1, 1) is?

Correct Answer Is : Two

Solution Is :

If (vector a * vector b)^2 + [(vector a) . (Vector b)]^2 = 144 and |vector a| = 4, then |vector b| = ?

Correct Answer Is : 3

Solution Is :

[2(vector a) + 3(vector b)] * [5(vector a) + 7(vector b)] = ?

Correct Answer Is : Vector b * vector a

Solution Is :

Let vector a, vector b, vector c be three vectors such that vector a ≠0, and [(vector a * vector b) = 2(vector a) * vector c], |vector a| = |vector c| = 1, |vector b| = 4 and |vector b * vector c| = √15. If [vector b - 2(vector c)] = λ (vector a), then λ is equal to?

Correct Answer Is : ±4

Solution Is :

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