Vectors Test

Result

Vectors Test - 3

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Weekly Quiz Competition

Question 1
1 / -0.25

Vector has

A
direction

B
magnitude

C
magnitude as well as direction

D
None of these

Solution

A vector has both magnitude as well as direction.
Question 2
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Correct form of distributive law is

A

B

C

D

Solution

Distributive law is given by :
Question 3
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Magnitude of the vector

A
1

B
1.5

C
0.5

D
√3

Solution

We have :
Question 4
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Find the unit vector in the direction of vector where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively

A

B

C

D

Solution
Question 5
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If is a non zero vector of magnitude ‘a ’and λ a non zero scalar, then λis a unit vector if

A
a = |λ|

B
λ= 1

C
λ= −1

D

Solution

λ is a unit vector if and only if is equal to
Question 6
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Find the values of x and y so that the vectors are equal

A
x = 2, y = 3

B
x = 3, y = 3

C
x = 3, y = 2

D
x = 2, y = 2

Solution
Question 7
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If P₁ (x₁ , y₁ , z₁ ) and P₂ (x₂ , y₂ , z₂ ) are any two points, then the vector joining P1 and P2is the vector P1P2. Magnitude of the vector

A

B

C

D

Solution

If P₁ (x₁ , y₁ , z₁ ) and P₂ (x₂ , y₂ , z₂ ) are any two points, then the vector joining P1 and P2is the vector P1P2, then ;
Question 8
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Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7).

A

B

C

D

Solution

The scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7) is given by : (- 5 –2) i.e. –7 and (7 –1) i.e. 6. Therefore, the scalar components are –7 and 6 .,and vector components are
Question 9
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Find a vector in the direction of the vector which has a magnitude of 8 units

A

B

C

D

Solution
Question 10
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Find , if and

A
17 √2

B
19 √3

C
8 √3

D
19 √5

Solution