Given A =4 i +6 j and B =2 i +3 j . Which of the following is correct ?
Physics · JEE Advanced · NTA Exams — Physics and Measurement
Given \(\overrightarrow{\mathrm{A}}=4 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}\)and \(\overrightarrow{\mathrm{B}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}\). Which of the following is correct ?
- \(\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}}=\overrightarrow{0}\)
- \(\overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{~B}}=24\)
- \(\frac{|\overrightarrow{\mathrm{A}}|}{|\overrightarrow{\mathrm{B}}|}=\frac{1}{2}\)
- \(\overrightarrow{\mathrm{A}} \text { and } \overrightarrow{\mathrm{B}}\) are anti-parallel
Answer
(A) A B = 0
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