A¯$$=3i^+4j^+5k^$$ & B¯$$=6i^+8j^+Pk^$$ are parallel. Then P $$=$$ $$5x$$ where x $$=$$

$$AxBx=AyBy=AzBz$$ $$36=48=5P$$⇒$$P=10$$

Motion in two and three dimensions

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$\bar{A} = 3 \hat{i} + 4 \hat{j} + 5 \hat{k} & \bar{B} = 6 \hat{i} + 8 \hat{j} + P \hat{k}$ are parallel. Then P = 5x where x =

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Solution

$\frac{A_{x}}{B_{x}} = \frac{A_{y}}{B_{y}} = \frac{A_{z}}{B_{z}}$
$\frac{3}{6} = \frac{4}{8} = \frac{5}{P} \Rightarrow P = 10$

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