Question

If you subtract vector 3.7 cm at 45° North of East from vector 4.5 cm at 57° West of North using a scale drawing, what is the resultant vector?

Answer 1

The resultant vector is 5.2 cm at a direction of 12⁰ west of north.

Resultant of the two vectors

The resultant of the two vectors is calculated as follows;

R = a² + b² - 2ab cos(θ)

where;

• θ is the angle between the two vectors =  45° + (90 - 57) = 78⁰
• a is the first vector
• b is the second vector

R² = (3.7)² + (4.5)² - (2 x 3.7 x 4.5) cos(78)

R² = 27.02

R = 5.2 cm

Direction of the vector

θ = 90 - 78⁰

θ = 12⁰

Thus, the resultant vector is 5.2 cm at a direction of 12⁰ west of north.

Learn more about resultant vector here: brainly.com/question/28047791

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