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MATH / A line passes through the distinct vectors a and b. Then for a certain value of k, the vector 3a+kbmust also lie on the line. Find k.

Problem

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problem

A line passes through the distinct vectors a\mathbf{a} and b.\mathbf{b}. Then for a certain value of k,k, the vector 3a+kb3 \mathbf{a} + k \mathbf{b}must also lie on the line. Find k.k.
Plain-text mathematical notation (without MathML)
A line passes through the distinct vectors a and b.  Then for a certain value of k, the vector
3a+kbmust also lie on the line.  Find k.
Original LaTeX notation
A line passes through the distinct vectors $\mathbf{a}$ and $\mathbf{b}.$  Then for a certain value of $k,$ the vector
\[3 \mathbf{a} + k \mathbf{b}\]must also lie on the line.  Find $k.$

level

Level 4

type

Precalculus

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Official source

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