Vectors Review

What is the magnitude of a vector with components (3, 4)?

• 5

• 10

• 7

• 2

Given two vectors A = (2, 3) and B = (-1, 4), what is the result of A + B?

• (0, 7)

• (2, 7)

• (3, 1)

• (1, 7)

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

• (4, -2)

• (2, -2)

• (6, -2)

• (6, -4)

Given a vector A = (2, -3) and a scalar k = 4, what is the result of kA?

• (16, -24)

• (8, -12)

• (10, -15)

• (6, -9)

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are orthogonal.

• They are neither.

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph
• Direction 93.0°
  Magnitude 485.6mph
• Direction 237.0°
  Magnitude 485.6mph
• Direction 87.0°
  Magnitude 510.0mph

If you have a BEARING (clockwise from north) of 100 degrees, what would your direction angle (standard position)?

• 10 degrees

• 100 degrees

• 280 degrees

• 350 degrees

If vector a = <-4, 5> and vector b = < 3, 4>, the angle between a & b (to the nearest degree) would be ___?

What would be the directions angle for the vector <-5, -2>?

• 22 degrees

• 202 degrees

• 338 degrees

• 248 degrees