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9. If \( \vec{A}=2 \hat{i}-3 \hat{j}+4 \hat{k} \), its components in \( y z \)-plane and \( z x \)-plane are respectively 1) \( \sqrt{13} \) and 5 2) 5 and \( 2 \sqrt{5} \) 3) \( 2 \sqrt{5} \) and \( \sqrt{13} \) 4) \( \sqrt{13} \) and \( \sqrt{29} \) 10. A force of 10 N is resolved into the perpendicular components. If the first component makes \( 30^{\circ} \) with the force. Then the magnitudes of the components are 1) \( 5 \mathrm{~N}, 5 \mathrm{~N} \) 2) \( 5 \sqrt{2} \mathrm{~N}, 5 \mathrm{~N} \) 3) \( 5 \sqrt{3} \mathrm{~N}, 5 \mathrm{~N} \) 4) \( 10 \mathrm{~N}, 10 \sqrt{3} \mathrm{~N} \) JEE MAIN LEVEL - 3 Single Answer Choice Type: 11. If the X component of a vector in \( \mathrm{X}-\mathrm{Y} \) plane is \( \sqrt{3} \) times its Y component, angle made by it with X -direction is 1) \( 30^{\circ} \) 2) \( 45^{\circ} \) 3) \( 60^{\circ} \) 4) \( 90^{\circ} \)

          9. If \( \vec{A}=2 \hat{i}-3 \hat{j}+4 \hat{k} \), its components in \( y z \)-plane and \( z x \)-plane are respectively
1) \( \sqrt{13} \) and 5
2) 5 and \( 2 \sqrt{5} \)
3) \( 2 \sqrt{5} \) and \( \sqrt{13} \)
4) \( \sqrt{13} \) and \( \sqrt{29} \)
10. A force of 10 N is resolved into the perpendicular components. If the first component makes \( 30^{\circ} \) with the force. Then the magnitudes of the components are
1) \( 5 \mathrm{~N}, 5 \mathrm{~N} \)
2) \( 5 \sqrt{2} \mathrm{~N}, 5 \mathrm{~N} \)
3) \( 5 \sqrt{3} \mathrm{~N}, 5 \mathrm{~N} \)
4) \( 10 \mathrm{~N}, 10 \sqrt{3} \mathrm{~N} \)

JEE MAIN
LEVEL - 3

Single Answer Choice Type:
11. If the X component of a vector in \( \mathrm{X}-\mathrm{Y} \) plane is \( \sqrt{3} \) times its Y component, angle made by it with X -direction is
1) \( 30^{\circ} \)
2) \( 45^{\circ} \)
3) \( 60^{\circ} \)
4) \( 90^{\circ} \)

9. If A⃗=2 î-3 ĵ+4 k̂, its components in y z-plane and z x-plane are respectively
1) √(13) and 5
2) 5 and 2 √(5)
3) 2 √(5) and √(13)
4) √(13) and √(29)
10. A force of 10 N is resolved into the perpendicular components. If the first component makes 30^∘ with the force. Then the magnitudes of the components are
1) 5 N, 5 N
2) 5 √(2) N, 5 N
3) 5 √(3) N, 5 N
4) 10 N, 10 √(3) N

JEE MAIN
LEVEL - 3

Single Answer Choice Type:
11. If the X component of a vector in X-Y plane is √(3) times its Y component, angle made by it with X -direction is
1) 30^∘
2) 45^∘
3) 60^∘
4) 90^∘

Added by Tammy J.

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