(1)

Step 1:

The sides and angle of the triangle

Law of sines

Find .

Substitute in the law of sines.

Find .

Substitute in

Find .

Substitute inlaw of sines.

Solution:

The number of triangles with parts are

(3)

Step 1:

The sides and angle of the triangle

Law of  cosine rule :

Substitute in the cosine rule.

Find .

Law of sines

Find .

Substitute in the law of sines.

Find .

Substitute in

Solution:

The number of triangles with parts are

(2)

Step 1:

The vector is

Find the maginute.

Magnitude of the vector

Substitute in the formula of magnitude.

Magnitude of the vector 

Find the Direction.

Direction of the vactor

Substitute in the direction formula.

Direction of the vector 

Solution:

Magnitude of the vector 

Direction of the vector