Vectors Test

Result

Vectors Test - 4

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

_{The unit vector in the direction of sum of the vectors}_and_is

A
)

B
- )

C
)

D
None of these
Question 2
1 / -0

If a = i + 2j + 3k and b = 3i - j + 2k, then the angle between the vectors a and b is:

A
30º

B
90º

C
60º

D
0º
Question 3
1 / -0

_If_{then the vector form of component of}_along_is

A

B

C

D
Question 4
1 / -0

If are unit coplanar vectors, then is equal to

A
1

B
0

C

D

E
6
Question 5
1 / -0

If , , and are the respective position vectors of four points A, B, C and D, such that ( – ) . ( – ) = ( – ). ( – ) = 0, then D is the

A
incentre of ABC

B
circumcentre of ABC

C
centroid of ABC

D
orthocentre of ABC
Question 6
1 / -0

_{If the vector}_{+ x}_{+ 3}_{is rotated through an angle}_{and doubled in magnitude, then it becomes}₄_{+ (4x - 2)}_{+ 2}_{. The values of x are}

A

B

C

D
2, 7
Question 7
1 / -0

If are any three non coplaner vectors, then =

A
2

B
0

C
1

D
None of these
Question 8
1 / -0

If are three non-coplanar vectors, then is equal to

A

B

C

D
0
Question 9
1 / -0

If are non-coplanar vectors and λ is a real number, then for

A
exactly two values of λ

B
exactly three values of λ

C
no real value of λ

D
exactly one value of λ
Question 10
1 / -0

_{If the vectors}_{are reciprocals of each other, then the number of ordered pairs of such vectors for}_{(- 13, 13) is}

A
2

B
3

C
8

D
16
Question 11
1 / -0

If the vectors = a+ + , = + b+ and = + + c (a ¹ 1, b ¹ 1, c ¹ 1) are coplanar, then the value of + + is

A
– 1

B
0

C
1

D
None of these
Question 12
1 / -0

A unit vector in xy-plane, which makes an angle of 45º with the vector and an angle of 60º with the vector , is

A

B

C

D
None of these
Question 13
1 / -0

_{The unit vectors}_{are perpendicular and the unit vector}_{is inclined at an angle q to both}_{. If}, then

A

B

C

D