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1
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
$90^{\circ}$
2
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
$$\sqrt{10}$$
3
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
$$\frac{|A|^2+|B|^2}{\sqrt{|A|^2-|B|^2}}$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$(\mathbf{A} \cdot \mathbf{A})(\mathbf{B} \cdot \mathbf{C})$$ is a scalar value.
B
$$(\mathbf{A} \times \mathbf{B}),(\mathbf{B} \times \mathbf{C})$$ is a scalar value.
C
$$(\mathbf{A} \times \mathbf{C}) \times(\mathbf{B} \times \mathbf{C})$$ is a scalar value.
D
$$\mathbf{A} \times(\mathbf{B} \times \mathbf{C})$$ is a vector value.
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