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Observe the following statements : Ass...

Observe the following statements :
Assertion (A) : Three vectors are coplanar if one of them is expressible as a linear combination of the other two.
Reason (R) : Any three coplanar vectors are linearly dependent.
Then which of the following is true?

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true but R is not the correct explanation of A.

C

A is true, but R is false.

D

A is false, but R is true.

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Observe the following statements. A : Three vectors are coplanar if one of them is expressible as a linear combination of the other two. R : Any three coplanear vectors are linearly dependent.

    A
    Both A and R are true and R is the correct explanation of A.
    B
    Both A and R are ture but R is not the correct explanation of A.
    C
    A is ture, but R is false
    D
    A is false, but R is true

  • I : Two non-zero, non-collinear vectors are linearly independent. II : Any three coplanar vectors are linearly dependent.

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • Statement-I : Two non zero, non collinear vectors are linearly independent. Statement-II : Any three coplanar vectors are linearly dependent. Which of the above statement is true?

    A
    Only I
    B
    only II
    C
    both I and II
    D
    Neither I nor II

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