Introduction for vectors

Which statement describes a vector?

• It has magnitude but no direction

• It has direction but no magnitude

• It has both direction and magnitude

• is it me, or are these all the same?

A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?

• 2 km
• 8.6 km
• 12 km
• 12.6 km

Find the magnitude of the vector a

• 4

• 4.24

• 8.2

• 9.42

Give your answer to 3 significant figure

(a)  

Which of the letters a, b, c, and d represent the vector shown in black?

• a

• b

• c

• d

Which of the letters a, b, c, and d represent the vector shown in black?

• a

• b

• c

• d

Which of the letters a, b, c, and d represent the vector shown in black?

• a

• b

• c

• d

What is the difference between scalar quantities and vector quantities?

• Scalar quantities only have magnitude; vector quantities only have direction.

• Scalar quantities only have direction; vector quantities only have magnitude.

• Vector quantities have both magnitude and direction; scalar quantities only have magnitude.

• Scalar quantities have both magnitude and direction; vector quantities only have direction.

• Scalar quantities have both magnitude and direction; vector quantities only have magnitude.

• A and E

• C and E

• A and C

• B and C

• B and D

Fill in the blank: If A is a nonzero vector, then ___________.

• A and −A have the same direction

• A and −A have opposite directions

• −A ⟂ A