Two Perpendicular Vectors $\vec { A }$ And $\overrightarrow { \mathbf { B } }$

question 13

Multiple Choice

Two perpendicular vectors, $\vec { A }$ and $\overrightarrow { \mathbf { B } }$ , are added together giving vector $\overrightarrow { \mathrm { C } }$ . If the magnitudes of both vectors $\vec { A }$ and $\overrightarrow { \mathbf { B } }$ are doubled without changing their directions, the magnitude of vector $\overrightarrow { \mathrm { C } }$ will

• A) increase by a factor of 8.
• B) increase by a factor of 4.
• C) increase by a factor of 2.
• D) increase by a factor of \(\sqrt { 2 }\) .
• E) not change.

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