CUET CUET Mathematics 2024 - The direction cosines of the line which is perpendicular to the lines with direction ratios 1,-2,-2 and 0,2,1 are : | PYQs + Solutions | AfterBoards
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CUET Mathematics 2024

Algebra
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Vector Algebra

Easy

The direction cosines of the line which is perpendicular to the lines with direction ratios 1,−2,−21,-2,-2 and 0,2,10,2,1 are :

Correct Option: 1
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If a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c} are three vectors such that a⃗+b⃗+c⃗=0→\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}, where a⃗\vec{a} and b⃗\vec{b} are unit vectors and ∣c⃗∣=2|\vec{c}|=2, then the angle between the vectors b⃗\vec{b} and c⃗\vec{c} is :

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Which of the following cannot be the direction ratios of the straight line x−32=2−y3=z+4−1\frac{x-3}{2}=\frac{2-y}{3}=\frac{z+4}{-1} ?

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If (a⃗−b⃗)⋅(a⃗+b⃗)=27(\vec{a}-\vec{b}) \cdot(\vec{a}+\vec{b})=27 and ∣a⃗∣=2∣b⃗∣|\vec{a}|=2|\vec{b}|, then ∣b⃗∣|\vec{b}| is :

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