Vectors and Scalars
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Questions and Answers

Which of the following is a scalar quantity?

  • Displacement
  • Velocity
  • Speed (correct)
  • Acceleration

What is the magnitude of a unit vector?

  • Equal to the magnitude of its associated vector
  • Zero
  • Negative one
  • One (correct)

What is the result of adding a null vector to another vector A?

  • The negative of vector A.
  • A vector perpendicular to A.
  • The vector A remains unchanged. (correct)
  • A null vector.

If vector A makes an angle $\theta$ with the x-axis, what is $A_x$?

<p>$A\cos\theta$ (C)</p> Signup and view all the answers

What is the direction of $\lambda$A if $\lambda$ is a positive real number?

<p>Same as the direction of A (D)</p> Signup and view all the answers

Which of the following is the correct expression for the average velocity $\vec{v}$?

<p>$\vec{v} = \frac{\Delta\vec{r}}{\Delta t}$ (A)</p> Signup and view all the answers

According to the associative law of vector addition, which of the following statements is true?

<p>(A + B) + C = A + (B + C) (C)</p> Signup and view all the answers

If $\lambda$ is negative, what is the direction of $\lambda$A?

<p>Opposite to the direction of A. (D)</p> Signup and view all the answers

Flashcards

Scalar Quantities

Quantities that have only magnitude, without direction.

Vector

A mathematical object with both magnitude and direction.

Head-to-Tail Method

Adding vectors end-to-end to find the resultant vector.

Commutative Law (Vector Addition)

The sum of two vectors is the same regardless of the order.

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Null Vector

A vector with zero magnitude and undefined direction.

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Vector Subtraction

Subtracting vector B from A is adding the negative of B to A.

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Unit Vector

A vector with a magnitude of 1.

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Position Vector

Vector describing an object's location in space.

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