EWT | Academic Question

Questions
Question (1)
QN0034867

How many minimum number of vectors in different planes can be added to give zero resultant?

  • (A)

    2

  • (B)

    3

  • (C)

    4

  • (D)

    5

Correct Answer: C
Explanation:

The resultant of any three vectors will be cancel out by fourth vector.

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Question (2)
QN0034868

Six vectors,  through  have the magnitudes and directions indicated in the figure. Which of the following statements is true?     

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Using the law of vector addition,  is as shown in the fig.

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Question (3)
QN0034869

Which law is governed by the given figure?

  • (A)

    Associative law of vector addition

  • (B)

    Commutative law of vector addition

  • (C)

    Associative law of vector multiplication         

  • (D)

    Commutative law of vector multiplication

Correct Answer: A
Explanation:

It illustrates the associative law of addition

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Question (4)
QN0034870
  1. Two vectors  and  lie in a plane, a third vector  lies outside this plane, sum of these vectors
  • (A)

    can be zero

  • (B)

    can never be zero

  • (C)

    lies in a plane containing 

  • (D)

    lies in a plane containing 

Correct Answer: B
Explanation:

Given  and  lie in a plane and vector  lies outside this plane.

Resultant vector of  and  lies in the same plane as that vectors  and .

Resultant vector of  and  in non.

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Question (5)
QN0034871

In an octagon  of equal side, what is the sum of  , if     

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

coplanar vector therefore, their resultant can never be zero.

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Question (6)
QN0034872

If  is a unit vector, then the value of  is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

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Question (7)
QN0034873

The unit vectors along the three co-ordinate axes are related as 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

All the three unit vectors have the magnitude as unity 

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Question (8)
QN0034874

 can be written in terms of components as . When will  be zero

  • (A)

  • (B)

  • (C)

  • (D)

    can never be zero

Correct Answer: C
Explanation:

 Even if one component is non - zero the sum  can't be zero.

for .

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Question (9)
QN0034875

The component of vector  along the vector  is

  • (A)

  • (B)

  • (C)

  • (D)

    5

Correct Answer: A
Explanation:

Component of  along 

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