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Vectors · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

Which of these quantities is a scalar?

2

A vector \(\vec A\) of magnitude \(5\,\text{m}\) points east. The vector \(-2\vec A\) is

3

Two forces of \(3\,\text{N}\) and \(4\,\text{N}\) act at one point at \(90°\) to each other. Their resultant is

4

Two forces of \(8\,\text{N}\) and \(6\,\text{N}\) act at one point. Which value can their resultant never take?

5

A car turns from \(10\,\text{m/s}\) east to \(10\,\text{m/s}\) north. The magnitude of its change of velocity is

6

A string pulls with \(40\,\text{N}\) at \(60°\) to the vertical. Its vertical component is

7

The vector \(-3\hat i + 3\hat j\) makes an angle with the \(+x\) axis of

8

A force \(\vec F = (3\hat i + 4\hat j)\,\text{N}\) moves a particle through \(\vec d = (4\hat i - \hat j)\,\text{m}\). The work done is

9

What is \(\hat i\times\hat k\)?

10

Two bodies move at constant velocities. At their closest approach, the relative position and the relative velocity are