Q72 / 160 · TS EAMCET 2021 (04 Aug Shift 2) · Mathematics

Consider the vectors a→=2i^+3j^-6k^, b→=6i^-2j^+3k^ and c→=3i^-6j^-2k^

Assertion (A): The three vectors do not form a triangle

Reason (R): The three vectors are non-coplanar

The correct option among the following is

  • Correct answer
    A
    (A) is true, (R) is true and (R) is the correct explanation for (A)
  • B
    (A) is true, (R) is true but (R) is not the correct explanation for (A)
  • C
    (A) is true but (R) is false
  • D
    (A) is false but (R)is true

Solution

Three vectors form a triangle when their sum is zero.

Here, a→+b→+c→=11i^-5j^-5k^

So, a→+b→+c→≠0→,

Hence, they are linearly independent & non-coplanar.

So. (A) & (R) both are true and (R) is the correct explanation for (A).

Hence, the correct answer is option: 'A'.

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