Each of Two Vectors $\overrightarrow { \mathrm { D } } _ { 1 }$

question 37

Multiple Choice

Each of two vectors, $\overrightarrow { \mathrm { D } } _ { 1 }$ and $\overrightarrow { \mathrm { D } } _ { 2 }$ ,lies along a coordinate axis in the xy plane.Each vector has its tail at the origin,and the dot product of the two vectors is $\overrightarrow { \mathrm { D } } _ { 1 } \cdot \overrightarrow { \mathrm { D } } _ { 2 } = - \left| \overrightarrow { \mathrm { D } } _ { 1 } \right| \left| \overrightarrow { \mathrm { D } } _ { 2 } \right|$ .Which possibility is correct?

• A) \[\overrightarrow { \mathrm { D } } _ { 1 }\] and \[\overrightarrow { \mathrm { D } } _ { 2 }\] both lie along the positive x axis.
• B) \(\overrightarrow { \mathrm { D } } _ { 1 }\) lies along the positive x axis. \(\overrightarrow { \mathrm { D } } _ { 2 }\) lies along the negative x axis.
• C) \(\overrightarrow { \mathrm { D } } _ { 1 }\) and \(\overrightarrow { \mathrm { D } } _ { 2 }\) both lie along the positive y axis.
• D) \(\overrightarrow { \mathrm { D } } _ { 1 }\) lies along the negative x axis. \(\overrightarrow { \mathrm { D } } _ { 2 }\) lies along the negative y axis.
• E) \(\overrightarrow { \mathrm { D } } _ { 1 }\) lies along the positive y axis. \(\overrightarrow { \mathrm { D } } _ { 2 }\) lies along the negative x axis.

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