The values of “c”, so that for all real x, the vectors cxi¯−6j¯+3k¯, xi¯+2j¯+2cxk¯ makes an obtuse angle are_______

Given a¯, b¯>900 ⇒ a¯.b¯<0 ⇒ −43 < c<0

The values of “c”, so that for all real x, the vectors cxi¯−6j¯+3k¯, xi¯+2j¯+2cxk¯ makes an obtuse angle are_______

Given a¯, b¯>900 ⇒ a¯.b¯<0 ⇒ −43 < c<0

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The values of “ $c$ ”, so that for all real x, the vectors $c x \bar{i} - 6 \bar{j} + 3 \bar{k}, x \bar{i} + 2 \bar{j} + 2 c x \bar{k}$ makes an obtuse angle are_______

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$c < 0$

$0 < c < \frac{4}{3}$

$c > 0$

$\frac{- 4}{3} < c < 0$

answer is D.

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Given $(\bar{a}, \bar{b}) > 90^{0} \Rightarrow \bar{a} . \bar{b} < 0 \Rightarrow \frac{- 4}{3} < c < 0$

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The values of “c”, so that for all real x, the vectors cxi¯−6j¯+3k¯, xi¯+2j¯+2cxk¯ makes an obtuse angle are_______

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The values of “ $c$ ”, so that for all real x, the vectors $c x \bar{i} - 6 \bar{j} + 3 \bar{k}, x \bar{i} + 2 \bar{j} + 2 c x \bar{k}$ makes an obtuse angle are_______