Review the graph.

On a coordinate plane, vector u has origin (4, 1) and terminal point (negative 3, 4).

What is the component form and direction of the vector shown?

LeftAngleBracket 7, negative 3 RightAngleBracket and 23 degrees
LeftAngleBracket negative 7, 3 RightAngleBracket and 23 degrees
LeftAngleBracket 7, negative 3 RightAngleBracket and 157 degrees
LeftAngleBracket negative 7, 3 RightAngleBracket and 15.7 degrees

Respuesta :

Answer:

its D

Step-by-step explanation:

Edge 2021

The  component form and direction of the vector shown is  (-7, 3) and 23 degrees respectively

Component and direction of vectors

Coordinates are expressed in the form (x, y). Given the point in the coordinate form expressed as:

u (4, 1) and terminal point (-3, 4)

Determine the component form of the vectors

(x, y) = [(-3-4), (4-1)]
(x, y) = (-7, 3)

Determine the direction of the vector:

theta = arctan(-3/7)
theta = arctan(-0.4288)

theta = 23 degrees

Hence the  component form and direction of the vector shown is  (-7, 3) and 23 degrees respectively

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