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If a vector has a magnitude of 20 N and is directed at an angle of 45° to the horizontal, what are its vertical and horizontal components?

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At a glance

MCQ

Type

practice

Style

Topic

Force, energy and momentum

Exam-style question

Try this first

If a vector has a magnitude of 20 N and is directed at an angle of 45° to the horizontal, what are its vertical and horizontal components?.

  1. A.14.14 N each
  2. B.10 N each
  3. C.20 N vertical, 0 N horizontal
  4. D.0 N vertical, 20 N horizontal

Model answer

What a good answer should say

  • 14.14 N each.
  • the correct option

Explanation

Why this works

The correct answer is 14.14 N each. This supports Resolve vectors into perpendicular components.

in Scalars and vectors because it uses the required mechanics relationship directly. The other options are less suitable because they confuse a different force, motion, energy, momentum, or materials concept.

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