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1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
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.
A
$60^{\circ}$
B
$45^{\circ}$
C
$90^{\circ}$
D
$120^{\circ}$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $|\mathbf{P}+\mathbf{Q}|=|\mathbf{P}|=|\mathbf{Q}|$ then the angle between $\mathbf{P}$ and $\mathbf{Q}$ is
A
$0^{\circ}$
B
$120^{\circ}$
C
$60^{\circ}$
D
$90^{\circ}$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$\frac{8}{\sqrt{5}}$$
B
$$\frac{11}{\sqrt{5}}$$
C
$$\frac{11}{2}$$
D
$$\sqrt{10}$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$\sqrt{|A|^2+|B|^2}$$
B
$$\sqrt{|A|^2-|B|^2}$$
C
$$\frac{|A|^2-|B|^2}{\sqrt{|A|^2+|B|^2}}$$
D
$$\frac{|A|^2+|B|^2}{\sqrt{|A|^2-|B|^2}}$$
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