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1
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
$$\sqrt{10}$$
2
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
$$\frac{|A|^2+|B|^2}{\sqrt{|A|^2-|B|^2}}$$
3
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.
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
10 N
B
20 N
C
30 N
D
25 N
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