JEE Main & Advanced Physics Vectors Question Bank

done Numerical Value Type Questions - Essential Mathematics and Vector Total Questions - 14

• question_answer1)
  Find the value of \[\int\limits_{-{\pi }/{2}\;}^{+{\pi }/{2}\;}{\cos x\,dx}\]
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• question_answer2)
  Find the value of \[\int\limits_{0}^{{\pi }/{2}\;}{\left( \sin x+\cos x \right)dx}\]
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• question_answer3)
  A displacement vector, at an angle of \[30{}^\circ \]with y-axis has an x-component of 10 units. Then the magnitude of the vector is?
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• question_answer4)
  The projection of a vector \[r=3\hat{i}+\hat{j}+2\hat{k}\] on the x-y plane has magnitude\[\sqrt{a}\]. Find the value of a.
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• question_answer5)
  Consider two vectors \[{{\vec{F}}_{1}}=2\hat{i}+5\hat{k}\] and \[{{\vec{F}}_{2}}=3\hat{j}+4\hat{k}\] The magnitude of the scalar product of these two vectors is?
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• question_answer6)
  The maximum and minimum magnitudes of the resultant of two given vectors are 17 and 7 respectively, If these two vectors are at right angles to each other the magnitude of their resultant is?
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• question_answer7)
  A boy wants to hold a 50 kg box at rest on a snow covered hill. The hill makes an angle of \[30{}^\circ \] with the horizontal. What force the boy must exert parallel to the slope (in N)?
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• question_answer8)
  Two vectors have magnitudes 2m and 3m. The angle between them is\[60{}^\circ \]. Find the scalar product of the two vectors.
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• question_answer9)
  A blind person after walking each 10 steps in one direction, each of length 80 cm, turns randomly to the left or to the right by\[90{}^\circ \]. After walking a total of 40 steps the maximum possible displacement of the person from his starting position is \[4\sqrt{a}\]m. Find value of a.
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• question_answer10)
  Two vectors \[P=2\hat{i}+b\hat{j}+2\hat{k}\] and \[Q=\hat{i}+\hat{j}+\hat{k}\] will be perpendicular find value of b.
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• question_answer11)
  The angle between the two vectors \[-2\hat{i}+3\hat{j}+\hat{k}\] and \[\hat{i}+2\hat{j}-4\hat{k}\] is (in degree)
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• question_answer12)
  Find the slope of the tangent to curve \[{{x}^{3}}+3xy+{{y}^{3}}=1\]at (1, 1).
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• question_answer13)
  Find the area bounded by the curve\[y={{e}^{-x}}\], the x-axis and y-axis.
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• question_answer14)
  Find the area enclosed by the curve y=sin x and the x-axis between \[x=0\] and\[x=\pi \].
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