For triangle A BC , let u = 2 1 C A + 3 1 CB . Point X lies on line A B and CX ∥ u . If CX = λ C A + μ CB , find λ / μ .

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For triangle $A BC$ , let $u = \frac{1}{2} C A + \frac{1}{3} CB$ . Point $X$ lies on line $A B$ and $CX ∥ u$ . If $CX = λ C A + μ CB$ , find $λ / μ$ .

Answer:

1.50

Solution:

Writing $C$ as origin and comparing a point on $A B$ with a scalar multiple of $u$ gives coefficients 3/5 and 2/5. Hence $λ / μ = 3/2$ .

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Vector equation

⏱ 2mℹ️ Source: QB

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