The points with position vectors a- - b- a- - b- and a- - kb- are collinear for all real values of k-

The above statement is false if a⃗ and b⃗ are non collinear and true if a⃗ and b⃗ are collinearFrom the figure it is clear that the two ...

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Test for Collinearity of Vectors

The points wi...

Question

The points with position vectors $\to a + \to b, \to a - \to b$ and $\to a + k \to b$ are collinear for all real values of $k$ .

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Solution

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\frac{| (\to a \times \to b) + (\to b \times \to c) + (\to c \times \to a) |}{| \to b - \to a |}

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