The values of x for which the angle between the vectors →a=x^i−3^j−^k and →b=2x^i+x^j−^k is acute, and the angle between the vectors →b and the y-axis of ordinates is obtuse, are
A
1,2
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B
−2,−3
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C
All x<0
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D
All x>0
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Solution
The correct option is C All x<0 Since the angle between the vectors →a and →b is acute and the angle between →b and the y-axis is obtuse, therefore, →a.→b>0 and →b.^j<0