Two Perpendicular Vectors $\overrightarrow { \mathrm { A } }$ And $\overrightarrow { \mathrm { B } }$

question 119

Multiple Choice

Two perpendicular vectors, $\overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } }$ , are added together giving vector $\overrightarrow { \mathrm { C } }$ . If the magnitudes of both vectors $\overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } }$ 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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