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  • Question 1
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    The angles which the vector \(\vec{A}=3 \hat{i}+6 \hat{j}+2 \hat{k}\) makes with the coordinate axes are :

  • Question 2
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    If the vectors \(\vec{A}=2 \hat{i}+4 \hat{j}\) and \(\vec{B}=5 \vec{i}-P \hat{j}\) are parallel to each other, the magnitude of \(\vec{B}\) is :

  • Question 3
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    The plane which can be formed with the vectors \(\bar{a}=3 \vec{i}-4 \vec{j}+2 k, \bar{b}=2 \vec{i}-\vec{j}-6 \bar{k}\)
    \(\bar{c}=5 \bar{i}-5 \vec{j}-4 k\) is :

  • Question 4
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    The magnitudes of the \(x\) and \(y\) components of \(\vec{P}\) are 7 and \(6 .\) The magnitudes of the \(x\) and \(y\) components of \(\vec{P}+\vec{Q}\) are 11 and \(9,\) respectively. What is the magnitude of \(Q ?\)

  • Question 5
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    Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are in the ratio 3:1. Which of the following relations is true?

  • Question 6
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    Two forces F1 and F2 acting at a point have a resultant F. lf F2 is doubled, F is also doubled. lf F2 is reversed in direction, then also F is doubled. Then F1:F2:F= ?

  • Question 7
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    If a body starts with a velocity \(2 \hat{i}-3 \hat{j}+11 \hat{k} m s^{-1}\) and moves with an acceleration of \(10 \hat{i}+10 \hat{j}+10 \hat{k}\) ms \(^{-2}\) then its velocity after \(0.25 s\) will be:

  • Question 8
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    Three forces \(F_{1}=2 \bar{i}+\bar{j}-\bar{k} N, F _{2}=2 \bar{i}+3 \overline{ j }-3 \overline{ k } N , F_{3}= a (\bar{i}+\bar{j}-\bar{k}) N\) act simultaneously on a particle. The value of \({ }^{\prime} a^{\prime}\) so that the particle may be in equilibrium is:

  • Question 9
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    What is the relationship between the C.G.S. and S.I. units of density?

  • Question 10
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    The dimensional formula for potential energy is:

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