VectorHard

Question

A vector is said to be rational vector if a, b, c are all rational. If this vector having magnitude as positive integer, makes an angle with vector then always -

Options

A.lies in xy plane
B.lies in xz plane
C.lies in yz plane
D.lies on x-axis

Solution


√2a + 3√2b + 4c I.6.
a + b + 2 √2 C = I.3
⇒  LHS is integer if c = 0
then = aî + bĵ which lies in xy plane

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