Class 11

3-1.Vectors question bank (Physics)

Practice 687 free Class 11 Physics - 3-1.Vectors questions with answers and step-by-step solutions.

Q1.

If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$ the vector having the same magnitude as $B$ and parallel to $A$ is

(A)
$5\hat i + 20\hat j$
(B)
$15\hat i + 10\hat j$
(C)
$20\hat i + 15\hat j$
(D)
$15\hat i + 20\hat j$
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Q2.

If $\overrightarrow A = 2\hat i + 4\hat j - 5\hat k$,the direction cosines of the vector $\overrightarrow A$ are:

(A)
$\frac{2}{\sqrt{45}}, \frac{4}{\sqrt{45}}, \text{and } \frac{-5}{\sqrt{45}}$
(B)
$\frac{1}{\sqrt{45}}, \frac{2}{\sqrt{45}}, \text{and } \frac{3}{\sqrt{45}}$
(C)
$\frac{4}{\sqrt{45}}, 0, \text{and } \frac{4}{\sqrt{45}}$
(D)
$\frac{3}{\sqrt{45}}, \frac{2}{\sqrt{45}}, \text{and } \frac{5}{\sqrt{45}}$
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