Question

The direction angle (rounded to the nearest degree) that b makes with the positive y-axis. b=⟨4,−5,8⟩

Answer 1

The direction angle that vector b makes with the positive y-axis is approximately -38 degrees.

Step-by-step explanation:

The direction angle that vector b makes with the positive y-axis can be found using trigonometry. We can use the direction ratios of vector b, which are 4, -5, and 8, to find the direction angle.

To find the direction angle, we can use the formula: angle = arctan(-x/y)

Plugging in the values, we have: angle = arctan(-4/5)

Simplifying, angle = -38 degrees (rounded to the nearest degree).