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Home › AP EAMCET › Mathematics › Coordinate Geometry: Direction Cosines and Direction Ratios › A vector has components 2, 3 and 6 along the axe…

A vector has components 2, 3 and 6 along the axes. What is its direction cosine with the x-axis?

A3/7
B2/7
C6/7
D2/3
Answer & Solution
Correct answer: B. 2/7
The magnitude is sqrt(4+9+36)=7, so the x direction cosine is the x component over the magnitude, 2/7.
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