Analytical addition and Resolution of Vectors
PHXI04:MOTION IN A PLANE

361780 A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)

1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
PHXI04:MOTION IN A PLANE

361781 If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
supporting img

1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
PHXI04:MOTION IN A PLANE

361782 A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be

1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
PHXI04:MOTION IN A PLANE

361783 The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(30^\circ \)
4 \(22.5^\circ \)
PHXI04:MOTION IN A PLANE

361784 At what angle the two vectors of magnitudes \((A+B)\) and \((A-B)\) must act, so that resultant is \(\sqrt {{A^2} + {B^2}} \,?\)

1 \(\cos ^{-1} \dfrac{(A+B)}{A-B}\)
2 \(\cos ^{-1}\left(\dfrac{\left(A^{2}+B^{2}\right)}{2\left(B^{2}-A^{2}\right)}\right)\)
3 \(\cos ^{-1}\left(\dfrac{A^{2}+B^{2}}{\left.A^{2}-B^{2}\right)}\right)\)
4 None of these
PHXI04:MOTION IN A PLANE

361780 A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)

1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
PHXI04:MOTION IN A PLANE

361781 If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
supporting img

1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
PHXI04:MOTION IN A PLANE

361782 A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be

1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
PHXI04:MOTION IN A PLANE

361783 The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(30^\circ \)
4 \(22.5^\circ \)
PHXI04:MOTION IN A PLANE

361784 At what angle the two vectors of magnitudes \((A+B)\) and \((A-B)\) must act, so that resultant is \(\sqrt {{A^2} + {B^2}} \,?\)

1 \(\cos ^{-1} \dfrac{(A+B)}{A-B}\)
2 \(\cos ^{-1}\left(\dfrac{\left(A^{2}+B^{2}\right)}{2\left(B^{2}-A^{2}\right)}\right)\)
3 \(\cos ^{-1}\left(\dfrac{A^{2}+B^{2}}{\left.A^{2}-B^{2}\right)}\right)\)
4 None of these
PHXI04:MOTION IN A PLANE

361780 A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)

1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
PHXI04:MOTION IN A PLANE

361781 If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
supporting img

1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
PHXI04:MOTION IN A PLANE

361782 A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be

1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
PHXI04:MOTION IN A PLANE

361783 The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(30^\circ \)
4 \(22.5^\circ \)
PHXI04:MOTION IN A PLANE

361784 At what angle the two vectors of magnitudes \((A+B)\) and \((A-B)\) must act, so that resultant is \(\sqrt {{A^2} + {B^2}} \,?\)

1 \(\cos ^{-1} \dfrac{(A+B)}{A-B}\)
2 \(\cos ^{-1}\left(\dfrac{\left(A^{2}+B^{2}\right)}{2\left(B^{2}-A^{2}\right)}\right)\)
3 \(\cos ^{-1}\left(\dfrac{A^{2}+B^{2}}{\left.A^{2}-B^{2}\right)}\right)\)
4 None of these
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI04:MOTION IN A PLANE

361780 A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)

1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
PHXI04:MOTION IN A PLANE

361781 If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
supporting img

1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
PHXI04:MOTION IN A PLANE

361782 A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be

1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
PHXI04:MOTION IN A PLANE

361783 The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(30^\circ \)
4 \(22.5^\circ \)
PHXI04:MOTION IN A PLANE

361784 At what angle the two vectors of magnitudes \((A+B)\) and \((A-B)\) must act, so that resultant is \(\sqrt {{A^2} + {B^2}} \,?\)

1 \(\cos ^{-1} \dfrac{(A+B)}{A-B}\)
2 \(\cos ^{-1}\left(\dfrac{\left(A^{2}+B^{2}\right)}{2\left(B^{2}-A^{2}\right)}\right)\)
3 \(\cos ^{-1}\left(\dfrac{A^{2}+B^{2}}{\left.A^{2}-B^{2}\right)}\right)\)
4 None of these
PHXI04:MOTION IN A PLANE

361780 A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)

1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
PHXI04:MOTION IN A PLANE

361781 If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
supporting img

1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
PHXI04:MOTION IN A PLANE

361782 A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be

1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
PHXI04:MOTION IN A PLANE

361783 The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is

1 \(45^\circ \)
2 \(90^\circ \)
3 \(30^\circ \)
4 \(22.5^\circ \)
PHXI04:MOTION IN A PLANE

361784 At what angle the two vectors of magnitudes \((A+B)\) and \((A-B)\) must act, so that resultant is \(\sqrt {{A^2} + {B^2}} \,?\)

1 \(\cos ^{-1} \dfrac{(A+B)}{A-B}\)
2 \(\cos ^{-1}\left(\dfrac{\left(A^{2}+B^{2}\right)}{2\left(B^{2}-A^{2}\right)}\right)\)
3 \(\cos ^{-1}\left(\dfrac{A^{2}+B^{2}}{\left.A^{2}-B^{2}\right)}\right)\)
4 None of these