3. Vectors

Which of the following best describes how to draw the vector $\overrightarrow{c}$ given $\overrightarrow{c}$=$\overrightarrow{a}$+$\overrightarrow{b}$ graphically?

Which of the following best describes how to draw the vector $\overrightarrow{d}$ given $\overrightarrow{a}$ and $\overrightarrow{b}$ so that $\overrightarrow{d}=\overrightarrow{a}+\overrightarrow{b}$?

Which of the following diagrams best illustrates the parallelogram method for adding two vectors $A$ and $B$?

A delivery truck travels 8 miles in the +x-direction, 5 miles in the +y-direction, and 4 miles again in the +x-direction. What is the magnitude (in miles) of its final displacement from the origin?

Find the magnitude of the Resultant Vector D=C-B-A.

A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.

For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of the vector difference A − B.

For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of the vector sum A + B

Use geometry and trigonometry to determine the magnitude and direction of G = E＋F.

Let A = 2i + 3j, B = 2i - 4j, and C = A + B. Draw a coordinate system and on it show vectors A, B, and C.

Let A = 4i - 2j, B = -3i + 5j, and D = A - B. Draw a coordinate system and on it show vectors A, B, and D.