A vector a has components a x equals -5.00 m in a y equals 9.00 meters find the magnitude and the direction of the vector

The magnitude = 10.30 m

The direction of the vector proceeds at angle of 119.05°

Explanation:

Given that:

A vector has component = -5 m and = 9 m

The magnitude of vector   can be represented as:

 =

 =

 =

 =

 = 10.30 m

If we make  an angle with y- axis:

Then;   tan  =

tan  =

tan  = 0.555

 = tan⁻¹ (0.555)

 = 29.05°

Angle with positive x-axis = 90 +  

= 90° + 29.05°

= 119.05°

the answer for apex is the lowest

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2