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Vector Algebra question

2015 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2015 · Shift 2 · Q23

Vector Algebra question

2015 · Shift 2 · Q23

JEE AdvancedMathematicsVector AlgebraNumerical+4 / −1

Suppose that

\overrightarrow p ,\overrightarrow q

and

\overrightarrow r

are three non-coplanar vectors in

{R^3}

. Let the components of a vector

\overrightarrow s

along

\overrightarrow p ,\overrightarrow q

and

\overrightarrow r

be

4, 3

and

5,

respectively. If the components of this vector

\overrightarrow s

along

\left( { - \overrightarrow p + \overrightarrow q + \overrightarrow r } \right),\left( {\overrightarrow p - \overrightarrow q + \overrightarrow r } \right)

and

\left( { - \overrightarrow p - \overrightarrow q + \overrightarrow r } \right)

are

x, y

and

z,

respectively, then the value of

2x+y+z

is

Numerical answer

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