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Standard IX

Mathematics

Representation of Vectors

A vector a⃗...

Question

A vector $\to a$ has components $2 p$ and $1$ with respect to a rectangular coordinate system.This system is rotated through a certain angle about the origin in the counterclockwise sense.If with respect to the new system, $\to a$ has components $p + 1$ and $1$ , then $p =$

1

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\frac{- 1}{3}

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- 1

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\frac{1}{3}

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Solution

The correct options are
A $1$
B $\frac{- 1}{3}$

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A vector $\to a$ has components 2p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter-clockwise sense. If with respect to the new system, $\to a$ has components (p+1) and 1, then

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A vector →a has components 2p and 1 with respect to a rectangular coordinate system.This system is rotated through a certain angle about the origin in the counterclockwise sense.If with respect to the new system,→a has components p+1 and 1, then p=

The correct options are A 1 B −13

A vector $\to a$ has components $2 p$ and $1$ with respect to a rectangular coordinate system.This system is rotated through a certain angle about the origin in the counterclockwise sense.If with respect to the new system, $\to a$ has components $p + 1$ and $1$ , then $p =$

The correct options are
A $1$
B $\frac{- 1}{3}$