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Question

What is the value of linear velocity, ifω=3^i4^j+^k and r=5^i6^j+6^k? [Hint: linear velocity v=ω×r]

A
18^i13^j+2^k
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B
30^i13^j2^k
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C
18^i+13^j+2^k
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D
30^i13^j+38^k
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Solution

The correct option is A 18^i13^j+2^k
As,
v=ω×r
ω×r=^i^j^k341566
[4×6(1×(6)]^i[3×65×1]^j+[6×35×4]^k
18^i13^j+2^k

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