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 ABCD is parallelogram with AC and BD as diagonals, then (vector AC - vector BD) = ?

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

✔Answer

Correct Answer Is : 2(vector AB)

Solution Is :

If vector c = 2(vector a) - 3(vector b) and 2(vector c) = 3(vector a) + 4(vector b), then vector c and vector a are?

a) At right angles
b) Like parallel vectors
c) Unlike parallel vectors
d) None of these

✔Answer

Correct Answer Is : Like parallel vectors

Solution Is :

Vectors (p, q) and (5, 1) are parallel, if

a) Pq = 5
b) Q = 5 p
c) P + q = 5
d) P = 5 q

✔Answer

Correct Answer Is : P = 5 q

Solution Is :

In a triangle ABC, if 2(vector AC) = 3(vector CB), then 2(vector OA) + 3(vector OB) equals?

a) 5(vector OC)
b) Vector OC
c) [-(vector OC)]
d) None of these

✔Answer

Correct Answer Is : 5(vector OC)

Solution Is :

ABCDEF is a regular hexagon and vector AB = vector a, vector BC = vector b and vector CD = vector c, then vector AE is?

a) Vector c + vector a
b) Vector a + vector b + vector c
c) Vector b + vector c
d) Vector a + vector b

✔Answer

Correct Answer Is : Vector b + vector c

Solution Is :

If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = ?

a) (-2, 3)
b) (2, -3)
c) (2, 3)
d) (-2, -3)

✔Answer

Correct Answer Is : (2, -3)

Solution Is :

In a triangle ABC, vector AB = vector a, vector AC = vector c, vector BC = vector b, then ?

a) Vector a + vector b + vector c = 0
b) Vector a + vector b - vector c = 0
c) Vector a - vector b + vector c = 0
d) (-vector a + vector b + vector c) = 0

✔Answer

Correct Answer Is : Vector a + vector b - vector c = 0

Solution Is :

If vector a and vector b are two non-zero and non-collinear vectors, then vector a + vector b and vector a - vector b are?

a) Linearly dependent vectors
b) Linearly dependent and independent vectors
c) Linearly independent vectors
d) None of these

✔Answer

Correct Answer Is : Linearly independent vectors

Solution Is :

If a = (1, -1) and b = (-2, m) are two collinear vectors, then m =?

a) 3
b) 4
c) 0
d) 2

✔Answer

Correct Answer Is : 2

Solution Is :

If C is the midpoint of AB and P is any point outside AB, then ?

a) Vector PA + vector PB = 2(vector PC)
b) Vector PA + vector PB = vector PC
c) Vector PA + vector PB + vector PC = zero vector
d) Vector PA + vector PB + 2(vector PC) = zero vector

✔Answer

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Class 12 Maths Study Material

Vectors

If ABCD is parallelogram with AC and BD as diagonals, then (vector AC - vector BD) = ?

Correct Answer Is : 2(vector AB)

Solution Is :

If vector c = 2(vector a) - 3(vector b) and 2(vector c) = 3(vector a) + 4(vector b), then vector c and vector a are?

Correct Answer Is : Like parallel vectors

Solution Is :

Vectors (p, q) and (5, 1) are parallel, if

Correct Answer Is : P = 5 q

Solution Is :

In a triangle ABC, if 2(vector AC) = 3(vector CB), then 2(vector OA) + 3(vector OB) equals?

Correct Answer Is : 5(vector OC)

Solution Is :

ABCDEF is a regular hexagon and vector AB = vector a, vector BC = vector b and vector CD = vector c, then vector AE is?

Correct Answer Is : Vector b + vector c

Solution Is :

If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = ?

Correct Answer Is : (2, -3)

Solution Is :

In a triangle ABC, vector AB = vector a, vector AC = vector c, vector BC = vector b, then ?

Correct Answer Is : Vector a + vector b - vector c = 0

Solution Is :

If vector a and vector b are two non-zero and non-collinear vectors, then vector a + vector b and vector a - vector b are?

Correct Answer Is : Linearly independent vectors

Solution Is :

If a = (1, -1) and b = (-2, m) are two collinear vectors, then m =?

Correct Answer Is : 2

Solution Is :

If C is the midpoint of AB and P is any point outside AB, then ?

Correct Answer Is : Vector PA + vector PB = 2(vector PC)

Solution Is :

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