The angle between the lines, r=( +2 -3 k)+ (3 +2 +6 k) and r=(5 -… - Vidyadip

MCQ

The angle between the lines,
$\tilde{r}=(\hat{\imath}+2 \hat{\jmath}-3 \hat{k})+\lambda(3 \hat{\imath}+2 \hat{\jmath}+6 \hat{k})$ and $\bar{r}=(5 \hat{\imath}-2 \hat{\jmath}+7 \hat{k})+\lambda^{\prime}(\hat{\imath}+2 \hat{\jmath}+2 \hat{k})$ is ..............

A
$\cos ^{-1}\left(\frac{17}{21}\right)$
B
$\cos ^{-1}\left(\frac{20}{21}\right)$
C
$\cos ^{-1}\left(\frac{18}{21}\right)$
D
$\cos ^{-1}\left(\frac{19}{21}\right)$

✓

Answer

(D) $\cos ^{-1}\left(\frac{19}{21}\right)$
Explanation :
Here, $a_1=3, b_1= c_1=6 $$\quad$ and$\quad$ $a_2=1, b_2=2, c_2=2$

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