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Q.

Ground radar reported the position of an enemy airplane as $10 k m 37 °$ north of east and altitude $1 k m$ . As seen at the radar, the Indian plane is at $10 k m 37 °$ south of west at an altitude $1 k m$ . Mark the CORRECT options.

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a

Distance between the Indian plane and the radar is $\sqrt{101} k m$

b

Distance between Indian plane and enemy plane is $20 k m$

c

Distance between the radar and the enemy plane is $\sqrt{101} k m$

d

Distance between Indian plane and enemy plane is $30 k m$

answer is A, B, C.

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Detailed Solution

$∴ {\vec{r}}_{1} = 8 \hat{i} + 6 \hat{j} + 1 \hat{k} {\vec{r}}_{2} = - 8 \hat{i} + 6 (- \hat{j}) + 1 \hat{k} ∴ {\vec{r}}_{1} - {\vec{r}}_{2} = 16 \hat{i} + 12 \hat{j} ∴ ({\vec{r}}_{1} - {\vec{r}}_{2}) = \sqrt{16^{2} + 12^{2}} = \sqrt{400} = 20 k m$

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