Scalar Product of Vectors
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PHXI06:WORK ENERGY AND POWER

355547 Two forces \(3 N\) and \(2 N\) are at an angle \(\theta\) such that the resultant is \(R\). The first force is now increased to \(6 N\) and the resultant becomes \(2 R\). The value of \(\theta\) is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(120^{\circ}\)
PHXI06:WORK ENERGY AND POWER

355548 If unit vectors \(\hat{A}\) and \(\hat{B}\) are inclined at an angle \(\theta\), then \(|\hat{A}-\hat{B}|\) is

1 \(2 \sin \dfrac{\theta}{2}\)
2 \(2 \cos \dfrac{\theta}{2}\)
3 \(2 \tan \dfrac{\theta}{2}\)
4 \(\tan \theta\)
PHXI06:WORK ENERGY AND POWER

355549 If \({\vec{A}=3 \hat{i}+4 \hat{j}}\) and \({\vec{B}=a \hat{i}+3 \hat{j}}\) are perpendicular to each other. The value of \({a}\) is

1 \( - \,4\)
2 4
3 \( - \,3\)
4 3
PHXI06:WORK ENERGY AND POWER

355550 The component of vector \(\vec{A}=2 \hat{i}+3 \hat{j}\) along the vector \(\vec{B}=\hat{i}+\hat{j}\) is

1 \(\dfrac{5}{\sqrt{2}}\)
2 \(10 \sqrt{2}\)
3 \(5 \sqrt{2}\)
4 5
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PHXI06:WORK ENERGY AND POWER

355547 Two forces \(3 N\) and \(2 N\) are at an angle \(\theta\) such that the resultant is \(R\). The first force is now increased to \(6 N\) and the resultant becomes \(2 R\). The value of \(\theta\) is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(120^{\circ}\)
PHXI06:WORK ENERGY AND POWER

355548 If unit vectors \(\hat{A}\) and \(\hat{B}\) are inclined at an angle \(\theta\), then \(|\hat{A}-\hat{B}|\) is

1 \(2 \sin \dfrac{\theta}{2}\)
2 \(2 \cos \dfrac{\theta}{2}\)
3 \(2 \tan \dfrac{\theta}{2}\)
4 \(\tan \theta\)
PHXI06:WORK ENERGY AND POWER

355549 If \({\vec{A}=3 \hat{i}+4 \hat{j}}\) and \({\vec{B}=a \hat{i}+3 \hat{j}}\) are perpendicular to each other. The value of \({a}\) is

1 \( - \,4\)
2 4
3 \( - \,3\)
4 3
PHXI06:WORK ENERGY AND POWER

355550 The component of vector \(\vec{A}=2 \hat{i}+3 \hat{j}\) along the vector \(\vec{B}=\hat{i}+\hat{j}\) is

1 \(\dfrac{5}{\sqrt{2}}\)
2 \(10 \sqrt{2}\)
3 \(5 \sqrt{2}\)
4 5
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PHXI06:WORK ENERGY AND POWER

355547 Two forces \(3 N\) and \(2 N\) are at an angle \(\theta\) such that the resultant is \(R\). The first force is now increased to \(6 N\) and the resultant becomes \(2 R\). The value of \(\theta\) is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(120^{\circ}\)
PHXI06:WORK ENERGY AND POWER

355548 If unit vectors \(\hat{A}\) and \(\hat{B}\) are inclined at an angle \(\theta\), then \(|\hat{A}-\hat{B}|\) is

1 \(2 \sin \dfrac{\theta}{2}\)
2 \(2 \cos \dfrac{\theta}{2}\)
3 \(2 \tan \dfrac{\theta}{2}\)
4 \(\tan \theta\)
PHXI06:WORK ENERGY AND POWER

355549 If \({\vec{A}=3 \hat{i}+4 \hat{j}}\) and \({\vec{B}=a \hat{i}+3 \hat{j}}\) are perpendicular to each other. The value of \({a}\) is

1 \( - \,4\)
2 4
3 \( - \,3\)
4 3
PHXI06:WORK ENERGY AND POWER

355550 The component of vector \(\vec{A}=2 \hat{i}+3 \hat{j}\) along the vector \(\vec{B}=\hat{i}+\hat{j}\) is

1 \(\dfrac{5}{\sqrt{2}}\)
2 \(10 \sqrt{2}\)
3 \(5 \sqrt{2}\)
4 5
For More Updates join with Us
PHXI06:WORK ENERGY AND POWER

355547 Two forces \(3 N\) and \(2 N\) are at an angle \(\theta\) such that the resultant is \(R\). The first force is now increased to \(6 N\) and the resultant becomes \(2 R\). The value of \(\theta\) is

1 \(30^{\circ}\)
2 \(60^{\circ}\)
3 \(90^{\circ}\)
4 \(120^{\circ}\)
PHXI06:WORK ENERGY AND POWER

355548 If unit vectors \(\hat{A}\) and \(\hat{B}\) are inclined at an angle \(\theta\), then \(|\hat{A}-\hat{B}|\) is

1 \(2 \sin \dfrac{\theta}{2}\)
2 \(2 \cos \dfrac{\theta}{2}\)
3 \(2 \tan \dfrac{\theta}{2}\)
4 \(\tan \theta\)
PHXI06:WORK ENERGY AND POWER

355549 If \({\vec{A}=3 \hat{i}+4 \hat{j}}\) and \({\vec{B}=a \hat{i}+3 \hat{j}}\) are perpendicular to each other. The value of \({a}\) is

1 \( - \,4\)
2 4
3 \( - \,3\)
4 3
PHXI06:WORK ENERGY AND POWER

355550 The component of vector \(\vec{A}=2 \hat{i}+3 \hat{j}\) along the vector \(\vec{B}=\hat{i}+\hat{j}\) is

1 \(\dfrac{5}{\sqrt{2}}\)
2 \(10 \sqrt{2}\)
3 \(5 \sqrt{2}\)
4 5