Vectors

What is the sum of the vectors A=(3,2) and B=(−1,4)?

• (2, 6)

• (4, 6)

• (2, 4)

• (4, 2)

What is the result of subtracting vector B=(5,−3) from vector A=(2,4)?

• (-3, 7)

• (-3, 1)

• (7, -1)

• (3, 7)

If A=(2,−1) and B=(4,3), what is the result of 2A+B?

• (8, 1)

• (4, 5)

• (8, 5)

• (6, 7)

What is the dot product of vectors A=(3,4) and B=(1,−2)?

• 5

• -7

• -5

• 7

If A=(1,2) and B=(3,−4), what is 3A−2B?

• (-3, 14)

• (7, -2)

• (5, 16)

• (7, -14)

What is the magnitude of the vector V=(3,4)?

• 5

• 7

• 25

• 12

The vectors A=(2,3) and B=(−1,4) form a parallelogram. What is the area of the parallelogram formed by these vectors?

• 7

• 5

• 11

• 8

If the vector A is (4,3) and it is multiplied by the scalar 2, what is the resulting vector?

• (4, 6)

• (8, 6)

• (8, 3)

• (2, 3)

The vectors A=(1,0) and B=(0,1) are orthogonal. What is their dot product?

• -1

• 1

• 0

• 2

Given vectors A=(1,2) and B=(3,−1), find the vector projection of A onto B.

• (1/5​, −1/5​)

• (5/10, −2/10)

• (3/5, −3/5)

• (3/10, −1/10)