Question

If a vector has an x-component of -25 units and a y-component of 40 units then the magnitude and direction of this vector is

Answer 1

ANSWER : Direction = tan^-1 ( 5/8 )

Magnitude = -5√89

EXPLANATION:

.

AsinΦ = -25_____[ | ]

AcosΦ= 40

.

#Direction#

.

TanΦ = 5/8

Φ = tan^-1 (5/8)

.

sinΦ = 5/ √25 + 64

= 5/√89

#Magnitude#

.

Now,put the values in eqn... [ | ]

.

A * 5/√89 = -25

A = -5√89