Vector Skills Challenge

Determine the magnitude of a vector with components (2, 5).

• sqrt(29)

• sqrt(27)

• sqrt(30)

• sqrt(25)

Find the sum of vectors A(3, -2) and B(-1, 4).

• (2, 2)

• (5, 1)

• (0, 2)

• (4, -6)

If vector A has a magnitude of 5 and vector B has a magnitude of 7, what is the magnitude of their sum?

• 35

• 10

• 12

• 2

Given vectors P(4, -3) and Q(-2, 6), calculate the resultant vector.

• (1, 1)

• (-2, 3)

• (2, 3)

• (6, -9)

What is the magnitude of a vector with components (1, 1, 1)?

• 2

• sqrt(2)

• sqrt(3)

• 0

Find the sum of vectors C(2, 3, -1) and D(-1, 2, 4).

• (1, 5, 3)

• (2, 5, 0)

• (0, 1, 3)

• (3, 6, 2)

If vector X has a magnitude of 8 and vector Y has a magnitude of 6, what is the magnitude of their sum?

• 10

• 5

• 12

• 14

Calculate the resultant of two vectors with magnitudes 6 and 8 at an angle of 45 degrees.

• 10.5

• 12.95

• 7.8

• 14.2

Determine the magnitude of a vector with components (3, -4, 5).

• 7.071

• 6.324

• 8.062

• 5.678

Find the sum of vectors E(1, -2, 3) and F(4, 5, -6).

• (5, -7, 9)

• (3, 3, -3)

• (5, 3, -3)

• (6, 1, -3)