Scalar Product of Vectors
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PHXI06:WORK ENERGY AND POWER

355542 The angle bewteen \(A=\hat{i}+\hat{j}\) and \(B=\hat{i}-\hat{j}\) is

1 \(45^{\circ}\)
2 \(90^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER

355543 What is the angle between \((\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\hat{i}\) ?

1 \(\cos ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
4 \(\cos ^{-1}\left(\dfrac{1}{3}\right)\)
PHXI06:WORK ENERGY AND POWER

355544 The resultant of two forces, each \(P\), acting at an angle \(\theta\) is

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

355545 Given that \(\vec{A}+\vec{B}=\vec{R}\) and \(A^{2}+B^{2}=R^{2}\). The angle between \(\vec{A}\) and \(\vec{B}\) is

1 0
2 \(\pi / 4\)
3 \(\pi / 2\)
4 \(\pi\)
PHXI06:WORK ENERGY AND POWER

355546 \(\vec{a}\) and \(\vec{b}\) are unit vectors and angle between them is \(\dfrac{\pi}{k}\). If \(\vec{a}+2 \vec{b}\) and \(5 \vec{a}-4 \vec{b}\) are perpendicular to each other then find the integer value of \(k\).

1 2
2 5
3 1
4 3
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PHXI06:WORK ENERGY AND POWER

355542 The angle bewteen \(A=\hat{i}+\hat{j}\) and \(B=\hat{i}-\hat{j}\) is

1 \(45^{\circ}\)
2 \(90^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER

355543 What is the angle between \((\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\hat{i}\) ?

1 \(\cos ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
4 \(\cos ^{-1}\left(\dfrac{1}{3}\right)\)
PHXI06:WORK ENERGY AND POWER

355544 The resultant of two forces, each \(P\), acting at an angle \(\theta\) is

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

355545 Given that \(\vec{A}+\vec{B}=\vec{R}\) and \(A^{2}+B^{2}=R^{2}\). The angle between \(\vec{A}\) and \(\vec{B}\) is

1 0
2 \(\pi / 4\)
3 \(\pi / 2\)
4 \(\pi\)
PHXI06:WORK ENERGY AND POWER

355546 \(\vec{a}\) and \(\vec{b}\) are unit vectors and angle between them is \(\dfrac{\pi}{k}\). If \(\vec{a}+2 \vec{b}\) and \(5 \vec{a}-4 \vec{b}\) are perpendicular to each other then find the integer value of \(k\).

1 2
2 5
3 1
4 3
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PHXI06:WORK ENERGY AND POWER

355542 The angle bewteen \(A=\hat{i}+\hat{j}\) and \(B=\hat{i}-\hat{j}\) is

1 \(45^{\circ}\)
2 \(90^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER

355543 What is the angle between \((\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\hat{i}\) ?

1 \(\cos ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
4 \(\cos ^{-1}\left(\dfrac{1}{3}\right)\)
PHXI06:WORK ENERGY AND POWER

355544 The resultant of two forces, each \(P\), acting at an angle \(\theta\) is

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

355545 Given that \(\vec{A}+\vec{B}=\vec{R}\) and \(A^{2}+B^{2}=R^{2}\). The angle between \(\vec{A}\) and \(\vec{B}\) is

1 0
2 \(\pi / 4\)
3 \(\pi / 2\)
4 \(\pi\)
PHXI06:WORK ENERGY AND POWER

355546 \(\vec{a}\) and \(\vec{b}\) are unit vectors and angle between them is \(\dfrac{\pi}{k}\). If \(\vec{a}+2 \vec{b}\) and \(5 \vec{a}-4 \vec{b}\) are perpendicular to each other then find the integer value of \(k\).

1 2
2 5
3 1
4 3
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355542 The angle bewteen \(A=\hat{i}+\hat{j}\) and \(B=\hat{i}-\hat{j}\) is

1 \(45^{\circ}\)
2 \(90^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER

355543 What is the angle between \((\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\hat{i}\) ?

1 \(\cos ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
4 \(\cos ^{-1}\left(\dfrac{1}{3}\right)\)
PHXI06:WORK ENERGY AND POWER

355544 The resultant of two forces, each \(P\), acting at an angle \(\theta\) is

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

355545 Given that \(\vec{A}+\vec{B}=\vec{R}\) and \(A^{2}+B^{2}=R^{2}\). The angle between \(\vec{A}\) and \(\vec{B}\) is

1 0
2 \(\pi / 4\)
3 \(\pi / 2\)
4 \(\pi\)
PHXI06:WORK ENERGY AND POWER

355546 \(\vec{a}\) and \(\vec{b}\) are unit vectors and angle between them is \(\dfrac{\pi}{k}\). If \(\vec{a}+2 \vec{b}\) and \(5 \vec{a}-4 \vec{b}\) are perpendicular to each other then find the integer value of \(k\).

1 2
2 5
3 1
4 3
Join With Us for More Updates
PHXI06:WORK ENERGY AND POWER

355542 The angle bewteen \(A=\hat{i}+\hat{j}\) and \(B=\hat{i}-\hat{j}\) is

1 \(45^{\circ}\)
2 \(90^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
NCERT Exemplar
PHXI06:WORK ENERGY AND POWER

355543 What is the angle between \((\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\hat{i}\) ?

1 \(\cos ^{-1}\left(\dfrac{1}{2}\right)\)
2 \(\sin ^{-1}\left(\dfrac{1}{2}\right)\)
3 \(\sin ^{-1}\left(\dfrac{1}{3}\right)\)
4 \(\cos ^{-1}\left(\dfrac{1}{3}\right)\)
PHXI06:WORK ENERGY AND POWER

355544 The resultant of two forces, each \(P\), acting at an angle \(\theta\) is

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

355545 Given that \(\vec{A}+\vec{B}=\vec{R}\) and \(A^{2}+B^{2}=R^{2}\). The angle between \(\vec{A}\) and \(\vec{B}\) is

1 0
2 \(\pi / 4\)
3 \(\pi / 2\)
4 \(\pi\)
PHXI06:WORK ENERGY AND POWER

355546 \(\vec{a}\) and \(\vec{b}\) are unit vectors and angle between them is \(\dfrac{\pi}{k}\). If \(\vec{a}+2 \vec{b}\) and \(5 \vec{a}-4 \vec{b}\) are perpendicular to each other then find the integer value of \(k\).

1 2
2 5
3 1
4 3