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Find the values of c so that for all real x the vectors xci - 6j + 3k and xi + 2j + 2cxk make an obtuse angle.

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Find the values of c so that for all real x the vectors xci - 6j + 3k and xi + 2j + 2cxk make an obtuse angle.

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If the angle between \(\overline{a}\) and \(\overline{b}\) is obtuse, \(\overline{a}\).\(\overline{b}\) < 0.

Hence, the angle between a and b is obtuse if c < 0.

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