Let a-b-c be three unit vectors such that 3a-4b-5c-0-Then which of the following statements are true-

The correct option is D none of the above 3a+4b+5c=0 ⇒a,b,c are coplanar nbsp;no other conclusion can be derived from it nbsp; ...

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Byju's Answer

Standard XII

Mathematics

Condition for Two Lines to be on the Same Plane

Let a,b,c b...

Question

Let $\to a, \to b, \to c$ be three unit vectors such that $3 \to a + 4 \to b + 5 \to c = 0$ .Then which of the following statements are true?

\to a

is parallel to

\to b

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\to a

is perpendicular to

\to b

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\to a

is neither parallel to nor perpendicular to

\to b

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none of the above

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Solution

The correct option is D none of the above
$3 \to a + 4 \to b + 5 \to c = 0$ $\Rightarrow \to a, \to b, \to c$ are coplanar no other conclusion can be derived from it

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Let →a,→b,→c be three unit vectors such that 3→a+4→b+5→c=0.Then which of the following statements are true?

The correct option is D none of the above3→a+4→b+5→c=0⇒→a,→b,→c are coplanar no other conclusion can be derived from it

Let $\to a, \to b, \to c$ be three unit vectors such that $3 \to a + 4 \to b + 5 \to c = 0$ .Then which of the following statements are true?

The correct option is D none of the above
$3 \to a + 4 \to b + 5 \to c = 0$ $\Rightarrow \to a, \to b, \to c$ are coplanar no other conclusion can be derived from it