Set the angles made by following vectors with x-axis in increasing order:
a) $3^i + 4^j$
b) $4^i + 3^j$
c) $^i +^j$

a, b, c

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c, b, a

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b, c, a

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a, c, b

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Solution

The correct option is A b, c, a
b, c, a have tangents of angles (slope) in increasing order as $\frac{3}{4}$ , $1$ and $\frac{4}{3}$ and hence angles with x-axis in increasing order.

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Similar questions

Show that the points A,B and C with position vectors, $a = 3^i - 4^j - 4^k, b = 2^i -^j +^k a n d c =^i - 3^j - 5^k$ respectively, form the vertices of a right angled triangle.

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