A) 2
B) \[\sqrt{\frac{271}{53}}\]
C) \[\sqrt{\frac{472}{31}}\]
D) \[\sqrt{\frac{474}{35}}\]
Correct Answer: D
Solution :
[d] Let \[A\,\,\left( 1,\,\,0,\,-1 \right),\text{ }B\,\,\left( -1,\text{ }2,\text{ }2 \right)\] Direction ratios of segment AB are \[<2,-2,-\,3>.\] \[\therefore \,\,\,\cos \theta \frac{\left| 2\times 1+3(-2)-5(-\,3) \right|}{\sqrt{1+9+25}\,\sqrt{4+4+9}}\] \[=\frac{11}{\sqrt{17}\sqrt{35}}\] \[=\frac{11}{\sqrt{595}}\] Length of projection\[=(AB)sin\theta \] \[=\sqrt{({{2}^{2}})+{{(2)}^{2}}+{{(3)}^{2}}}\times \sqrt{1-\frac{121}{595}}\] \[=\sqrt{17}\frac{\sqrt{474}}{\sqrt{17}\sqrt{35}}\] \[=\sqrt{\frac{474}{35}}\] Units
You need to login to perform this action.
You will be redirected in
3 sec
