Find the magnitude and direction angle of the following vector. Write your angle in degrees rounded to four decimal places.u=−12i−7j

Question

Find the magnitude and direction angle of the following vector. Write your angle in degrees rounded to four decimal places.u=−12i−7j
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Solution 1

The magnitude of a vector u = -12i - 7j is calculated using the formula:

||u|| = sqrt((-12)^2 + (-7)^2)

The direction angle (θ) of the vector is calculated using the formula:

θ = atan2(y, x), where x and y are the i and j components of the vector respectively.

Let's calculate:

  1. Magnitude: ||u Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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 you to solv

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