Vector Algebra · Physics · AP EAPCET

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MCQ (Single Correct Answer)

1

Three vectors each of magnitude $3 \sqrt{1.5}$ units are acting at a point. If the angle between any two vectors is $\frac{\pi}{3}$, then the magnitude of the resultant vector of the three vector is

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2

A vector perpendicular to the vector $(4 \hat{\mathbf{i}}-3 \hat{\mathbf{j}})$ is

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3

If $\alpha, \beta$ and $\gamma$ are the angles made by a vector with $x, y$ and $z$ axes respectively, then $\sin ^2 \alpha+\sin ^2 \beta=$

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4

If the magnitude of a vector $\mathbf{P}$ is 25 units and its $y$-component is 7 units, then its $x$-component is

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5

The magnitudes of two vectors are $A$ and $B(A>B)$. If the maximum resultant magnitude of the two vectors is ' $n$ ' times their minimum resultant magnitude, then $\frac{A}{B}=$

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6
The angle made by the resultant vector of two vectors $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}$ and $2 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}$ with $X$-axis.
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7
If $|\mathbf{P}+\mathbf{Q}|=|\mathbf{P}|=|\mathbf{Q}|$ then the angle between $\mathbf{P}$ and $\mathbf{Q}$ is
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8

The component of a vector $$\mathbf{P}=3 \hat{i}+4 \hat{j}$$ along the direction $$(\hat{i}+2 \hat{j})$$ is

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9

If two vectors $$\mathbf{A}$$ and $$\mathbf{B}$$ are mutually perpendicular, then the component of $$\mathbf{A}-\mathbf{B}$$ along the direction of $$\mathbf{A}+\mathbf{B}$$ is

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10

Which of the following is not true about vectors $$\mathbf{A}, \mathbf{B}$$ and $$\mathbf{C}$$ ?

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11

One of the rectangular components of a force of 40 N is 20$$\sqrt3$$ N. What is the other rectangular component?

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