Find the torque of a force ⃗ F→ = −3𝚤̂ + 𝚥̂ + 5𝑘acting at point 𝑟→ = 7𝚤̂ + 3𝚥̂ + 𝑘

Question

Find the torque of a force ⃗ F→ = −3𝚤̂ + 𝚥̂ + 5𝑘acting at point 𝑟→ = 7𝚤̂ + 3𝚥̂ + 𝑘
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Solution 1

The torque of a force is given by the cross product of the position vector and the force vector. In this case, we have:

Position vector, r→ = 7𝚤̂ + 3𝚥̂ + 𝑘 Force vector, F→ = -3𝚤̂ + 𝚥̂ + 5𝑘

The cross product of two vectors a = a1𝚤̂ + a2𝚥̂ + a3𝑘 and b = b1𝚤̂ + b2𝚥̂ + b3𝑘 is given by:

a x b = (a2b3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

x b = (a2b3 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help

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