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2 years ago

Can you help me please

Mathematics

1 answer:

alexira [117]2 years ago

5 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

Finding the horizontal component

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

= 38 cos 120°

= 38 (-0.5)

= -19

Thus, the horizontal component is:

Vx = -19

Finding the vertical component

The vertical component can be obtained using the formula

Vy = |v| sin Ф

= 38 sin 120°

= 38 (0.86)

= 32.68

Thus, the vertical component is:

Vy = -19

A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

v = -19 i + 32.68 j

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