Addition of Vectors
Motion in Plane

269834 Two particles are projected with same speed but at angles of projection\(\left(45^{\circ}-\theta\right)\) and \(\left(45^{\circ}+\theta\right)\). Then their horizontal ranges are in the ratio of

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 1\)
4 none of the above
Motion in Plane

269835 The acceleration of a projectile relative to another projectile is

1 -g
2 \(g\)
3 \(2 \mathrm{~g}\)
4 0
Motion in Plane

269819 If \(\vec{A}+\vec{B}=\vec{C}\) and the angle between \(\vec{A}\) and \(\vec{B}\) is \(120^{\circ}\), then the magnitude of \(\vec{C}\)

1 must be equal to\(|\vec{A}-\vec{B}|\)
2 must be less than\(|\vec{A}-\vec{B}|\)
3 must be greater than\(|\vec{A}-\vec{B}|\)
4 may be equal to\(|\vec{A}-\vec{B}|\)
Motion in Plane

269820 When two vectors \(\vec{A}\) and \(\vec{B}\) of magnitudes'a' and ' \(b\) ' respectively are added, the magnitude of resultant vector is always

1 Equal to\((a+b)\)
2 Less than\((a+b)\)
3 Greater than\((a+b)\)
4 Not greater than\((a+b)\)
Motion in Plane

269821 If\(\vec{C}=\vec{A}+\vec{B}\) then

1 \(\vec{C}\) is always greater than \(|\vec{A}|\)
2 \(C\) is always equal to \(A+B\)
3 \(C\) is never equal to \(A+B\)
4 It is possible to have\(|\vec{C}|<|\vec{A}|\) and \(|\vec{C}|<|\vec{B}|\)
Motion in Plane

269834 Two particles are projected with same speed but at angles of projection\(\left(45^{\circ}-\theta\right)\) and \(\left(45^{\circ}+\theta\right)\). Then their horizontal ranges are in the ratio of

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 1\)
4 none of the above
Motion in Plane

269835 The acceleration of a projectile relative to another projectile is

1 -g
2 \(g\)
3 \(2 \mathrm{~g}\)
4 0
Motion in Plane

269819 If \(\vec{A}+\vec{B}=\vec{C}\) and the angle between \(\vec{A}\) and \(\vec{B}\) is \(120^{\circ}\), then the magnitude of \(\vec{C}\)

1 must be equal to\(|\vec{A}-\vec{B}|\)
2 must be less than\(|\vec{A}-\vec{B}|\)
3 must be greater than\(|\vec{A}-\vec{B}|\)
4 may be equal to\(|\vec{A}-\vec{B}|\)
Motion in Plane

269820 When two vectors \(\vec{A}\) and \(\vec{B}\) of magnitudes'a' and ' \(b\) ' respectively are added, the magnitude of resultant vector is always

1 Equal to\((a+b)\)
2 Less than\((a+b)\)
3 Greater than\((a+b)\)
4 Not greater than\((a+b)\)
Motion in Plane

269821 If\(\vec{C}=\vec{A}+\vec{B}\) then

1 \(\vec{C}\) is always greater than \(|\vec{A}|\)
2 \(C\) is always equal to \(A+B\)
3 \(C\) is never equal to \(A+B\)
4 It is possible to have\(|\vec{C}|<|\vec{A}|\) and \(|\vec{C}|<|\vec{B}|\)
Motion in Plane

269834 Two particles are projected with same speed but at angles of projection\(\left(45^{\circ}-\theta\right)\) and \(\left(45^{\circ}+\theta\right)\). Then their horizontal ranges are in the ratio of

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 1\)
4 none of the above
Motion in Plane

269835 The acceleration of a projectile relative to another projectile is

1 -g
2 \(g\)
3 \(2 \mathrm{~g}\)
4 0
Motion in Plane

269819 If \(\vec{A}+\vec{B}=\vec{C}\) and the angle between \(\vec{A}\) and \(\vec{B}\) is \(120^{\circ}\), then the magnitude of \(\vec{C}\)

1 must be equal to\(|\vec{A}-\vec{B}|\)
2 must be less than\(|\vec{A}-\vec{B}|\)
3 must be greater than\(|\vec{A}-\vec{B}|\)
4 may be equal to\(|\vec{A}-\vec{B}|\)
Motion in Plane

269820 When two vectors \(\vec{A}\) and \(\vec{B}\) of magnitudes'a' and ' \(b\) ' respectively are added, the magnitude of resultant vector is always

1 Equal to\((a+b)\)
2 Less than\((a+b)\)
3 Greater than\((a+b)\)
4 Not greater than\((a+b)\)
Motion in Plane

269821 If\(\vec{C}=\vec{A}+\vec{B}\) then

1 \(\vec{C}\) is always greater than \(|\vec{A}|\)
2 \(C\) is always equal to \(A+B\)
3 \(C\) is never equal to \(A+B\)
4 It is possible to have\(|\vec{C}|<|\vec{A}|\) and \(|\vec{C}|<|\vec{B}|\)
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Motion in Plane

269834 Two particles are projected with same speed but at angles of projection\(\left(45^{\circ}-\theta\right)\) and \(\left(45^{\circ}+\theta\right)\). Then their horizontal ranges are in the ratio of

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 1\)
4 none of the above
Motion in Plane

269835 The acceleration of a projectile relative to another projectile is

1 -g
2 \(g\)
3 \(2 \mathrm{~g}\)
4 0
Motion in Plane

269819 If \(\vec{A}+\vec{B}=\vec{C}\) and the angle between \(\vec{A}\) and \(\vec{B}\) is \(120^{\circ}\), then the magnitude of \(\vec{C}\)

1 must be equal to\(|\vec{A}-\vec{B}|\)
2 must be less than\(|\vec{A}-\vec{B}|\)
3 must be greater than\(|\vec{A}-\vec{B}|\)
4 may be equal to\(|\vec{A}-\vec{B}|\)
Motion in Plane

269820 When two vectors \(\vec{A}\) and \(\vec{B}\) of magnitudes'a' and ' \(b\) ' respectively are added, the magnitude of resultant vector is always

1 Equal to\((a+b)\)
2 Less than\((a+b)\)
3 Greater than\((a+b)\)
4 Not greater than\((a+b)\)
Motion in Plane

269821 If\(\vec{C}=\vec{A}+\vec{B}\) then

1 \(\vec{C}\) is always greater than \(|\vec{A}|\)
2 \(C\) is always equal to \(A+B\)
3 \(C\) is never equal to \(A+B\)
4 It is possible to have\(|\vec{C}|<|\vec{A}|\) and \(|\vec{C}|<|\vec{B}|\)
Motion in Plane

269834 Two particles are projected with same speed but at angles of projection\(\left(45^{\circ}-\theta\right)\) and \(\left(45^{\circ}+\theta\right)\). Then their horizontal ranges are in the ratio of

1 \(1: 2\)
2 \(2: 1\)
3 \(1: 1\)
4 none of the above
Motion in Plane

269835 The acceleration of a projectile relative to another projectile is

1 -g
2 \(g\)
3 \(2 \mathrm{~g}\)
4 0
Motion in Plane

269819 If \(\vec{A}+\vec{B}=\vec{C}\) and the angle between \(\vec{A}\) and \(\vec{B}\) is \(120^{\circ}\), then the magnitude of \(\vec{C}\)

1 must be equal to\(|\vec{A}-\vec{B}|\)
2 must be less than\(|\vec{A}-\vec{B}|\)
3 must be greater than\(|\vec{A}-\vec{B}|\)
4 may be equal to\(|\vec{A}-\vec{B}|\)
Motion in Plane

269820 When two vectors \(\vec{A}\) and \(\vec{B}\) of magnitudes'a' and ' \(b\) ' respectively are added, the magnitude of resultant vector is always

1 Equal to\((a+b)\)
2 Less than\((a+b)\)
3 Greater than\((a+b)\)
4 Not greater than\((a+b)\)
Motion in Plane

269821 If\(\vec{C}=\vec{A}+\vec{B}\) then

1 \(\vec{C}\) is always greater than \(|\vec{A}|\)
2 \(C\) is always equal to \(A+B\)
3 \(C\) is never equal to \(A+B\)
4 It is possible to have\(|\vec{C}|<|\vec{A}|\) and \(|\vec{C}|<|\vec{B}|\)