Let a- b- c- are the non zero vectors no two of which are collinear- If the vector a-2 b- is collinear with c- and b-3 c- is collinear with a- then the magnitude of a -2 b -6 c is equal to

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Standard XII

Mathematics

Test for Coplanarity

Let a⃗, b⃗, c...

Question

Let $\to a, \to b, \to c$ are the non zero vectors no two of which are collinear. If the vector $\to a + 2 \to b$ is collinear with $\to c$ and $\to b + 3 \to c$ is collinear with $\to a$ then the magnitude of $\to a + 2 \to b + 6 \to c$ is equal to___

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Solution

Apply the definition of collinear vectors.

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