Writing the component form of a vector given the magnitude and direction vector

Writing the component form of a vector given the magnitude and direction vector

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find a new vector with a specified magnitude while maintaining the same direction as a given vector. It covers the calculation of the unit vector and how to scale it to achieve the desired magnitude. The process involves using the formula for magnitude and applying scalar multiplication to obtain the final vector.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the resulting vector when scaling the unit vector of (2, 5) to a magnitude of 9?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the final vector format obtained after scaling the vector (2, 5) to a magnitude of 9.

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