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JEE Advanced 2015 Mathematics question

MathematicsVector AlgebraJEE Advanced 2015

Suppose that , and are three non-coplanar vectors in . Let the components of a vector along , and be 4, 3 and 5, respectively. If the components of this vector along , and are , and , respectively, then the value of is

Answer: 9

Solution

Official scoring status: BONUS / +4 TO ALL (marks awarded to all candidates). Intended/calculated answer: 9, worked out as follows. Interpreting "components" as coefficients: $Missing argument for \vec\vec s=4Missing argument for \vec\vec p+3Missing argument for \vec\vec q+5Missing argument for \vec\vec r=x(-Missing argument for \vec\vec p+Missing argument for \vec\vec q+Missing argument for \vec\vec r)+y(Missing argument for \vec\vec p-Missing argument for \vec\vec q+Missing argument for \vec\vec r)+z(-Missing argument for \vec\vec p-Missing argument for \vec\vec

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Question ID VK-026471