Find the magnitude and direction angle (in degrees) of the following vector.v=12(cos(68°)i+sin(68°)j)

Question

Find the magnitude and direction angle (in degrees) of the following vector.v=12(cos(68°)i+sin(68°)j)
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Solution 1

The magnitude of a vector v = ai + bj is given by √(a² + b²). In this case, a = 12cos(68°) and b = 12sin(68°).

Step 1: Calculate a² and b² a² = (12cos(68°))² b² = (12sin(68°))²

Step 2: Add a² and b² a² + b² = (12cos(68°))² + (12sin(68°))²

Step 3: Take the square root of the sum to find the ma Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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