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# The vector 12𝐢 + 𝑞𝐣 is parallel to the vector 9𝐢 − 𝐣. Find the value of the constant 𝑞

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The vector 12𝐢 + 𝑞𝐣 is parallel to the vector 9𝐢 − 𝐣. Find the value of the constant 𝑞

Feb 23, 2019

$$\text{in two dimensions the ratio of the x and y coordinates}\\ \text{of parallel vectors will be equal}\\ \dfrac{q}{12} = \dfrac{-1}{9}\\ 9q = -12\\ q = -\dfrac 4 3$$