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Multiplication of a Vector by a Scalar

There are thr...

Question

There are three points with position vectors $- 2 a + 3 b + 5 c, a + 2 b + 3 c$ and $7 a - c$ . What is the relation between the three points?

Collinear

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Forms a triangle

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In different plane

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None of the above

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Solution

The correct option is A Collinear
The relation between the three points are collinear
Thus option A is correct answer

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Similar questions

- 2 a + 3 b + 5 c, a + 2 b + 3 c, 7 a - c

\vec{a}

\vec{b}

\vec{c}

5 \vec{a} + 6 \vec{b} + 7 \vec{c,} 7 \vec{a} - 8 \vec{b} + 9 \vec{c} and 3 \vec{a} + 20 \vec{b} + 5 \vec{c}

\vec{a} - 2 \vec{b} + 3 \vec{c}, - 3 \vec{b} + 5 \vec{c} and - 2 \vec{a} + 3 \vec{b} - 4 \vec{c}

7 \to a - \to c

\to a + 2 \to b + 3 \to c

- 2 \to a + 3 \to b + 5 \to c

\to a - 2 \to b + 3 \to c, 2 \to a + 3 \to b + 4 \to c, - 7 \to b + 10 \to c

\vec{a} - 2 \vec{b} + 3 \vec{c}, 2 \vec{a} + 3 \vec{b} - 4 \vec{c}

- 7 \vec{b} + 10 \vec{c}

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