The area of the parallelogram represented by the vectors. ${\rm{\vec A}} = 4\hat i + 3\hat j\,\,and\,{\rm{\vec B}} = 2\hat i + 4\hat j$ is

NEET UG PHYSICS MCQ: MOTION IN PLANE

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The area of the parallelogram represented by the vectors.

\mathrm{\vec A} = 4\hat i + 3\hat j\,\,and\,\mathrm{\vec B} = 2\hat i + 4\hat j

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Correct option: C

10 units

Option C (10 units) is correct because the area of the parallelogram is the magnitude of the cross product of the vectors, which is

|(4\hat i + 3\hat j) \times (2\hat i + 4\hat j)| = |16 - 6| = 10

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\mathrm{\vec a}\,and\,\mathrm{\vec b}

\mathrm{\vec a}\,and\,\mathrm{\vec b}

\overrightarrow P \,\,.\,\,\overrightarrow Q = 0\,and\,\overrightarrow P \,\, \times \,\,\overrightarrow Q = 0

\overrightarrow Q \,and\,\overrightarrow R

\vec{A}=3 \hat{i}+4 \hat{j}

\vec{B}=6 \hat{i}+8 \hat{j}

A

B

\overrightarrow{\mathrm{A}}

\overrightarrow{\mathrm{B}}

{\cot ^{ - 1}}\left( 2 \right)