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3-1.Vectors
easy
Which of the following is not true ? If $\overrightarrow A = 3\hat i + 4\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$ where $ A$ and $B$ are the magnitudes of $\overrightarrow A $ and $\overrightarrow B $
A
$\overrightarrow A \times \overrightarrow B = 0$
B
$\frac{A}{B} = \frac{1}{4}$
C
$\overrightarrow {A\,.} \,\overrightarrow B = 50$
D
$A = 5$
Solution
(b) $|\vec A| = 5$, $|\vec B| = 10$==> $\frac{A}{B} = \frac{1}{2}$
Standard 11
Physics
Similar Questions
Two vectors $A$ and $B$ have equal magnitude $x$. Angle between them is $60^{\circ}$. Then, match the following two columns.
colum $I$ | colum $II$ |
$(A)$ $|A+B|$ | $(p)$ $\frac{\sqrt{3}}{2} x$ |
$(B)$ $|A-B|$ | $(q)$ $x$ |
$(C)$ $A \cdot B$ | $(r)$ $\sqrt{3} x$ |
$(D)$ $|A \times B|$ | $(s)$ None |
medium