Motion in a Plane
- A body constrained to move in y-direction, is subjected to a force given by F→ = (-2î + 15ĵ + 6k̂) N. What is the work done by this force in moving the body through a distance of 10m along y-axis ?
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Since displacement is along the y-direction, hence displacement s→ = 10ĵ .
Work done = F→ . s→
= (-2î + 15ĵ + 6k̂) . 10ĵ = 150 JCorrect Option: C
Since displacement is along the y-direction, hence displacement s→ = 10ĵ .
Work done = F→ . s→
= (-2î + 15ĵ + 6k̂) . 10ĵ = 150 J
- The angle between A→ and A→ is θ. The value of the triple product A→ . (B→ × A→) is
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Note that (B→ × A→) ⊥ A→ . Hence their dot product is zero.
Correct Option: B
Note that (B→ × A→) ⊥ A→ . Hence their dot product is zero.
- The magnitudes of vectors A→ , B→ and C→ are 3, 4 and 5 units respectively. If A→ + B→ = C→ , then the angle between A→ and B→ is
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(A→ + B→)2 = (C→)2
⇒ A2 + B2 + 2 A→.B→ = C2
⇒ 32 + 42 + 2 A→.B→ = 52
⇒ 2 A→.B→ = 0
⇒ A→.B→ = 0
∴ A→ ⊥ B→
Here A2 + B2 = C2.
Hence, A→ ⊥ B→Correct Option: A
(A→ + B→)2 = (C→)2
⇒ A2 + B2 + 2 A→.B→ = C2
⇒ 32 + 42 + 2 A→.B→ = 52
⇒ 2 A→.B→ = 0
⇒ A→.B→ = 0
∴ A→ ⊥ B→
Here A2 + B2 = C2.
Hence, A→ ⊥ B→
- The resultant of (A→ × 0) will be equal to
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When a vector is multiplied with a scalar, the result is a vector.
Correct Option: C
When a vector is multiplied with a scalar, the result is a vector.
- Which of the following is not a vector quantity?
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NA
Correct Option: C
NA