Question

A vector has component along the x-axis equal to 25 unit and along the y-axis equal to 60 unit. Find the magnitude and direction of the vector.

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Answer 1

Answer :-

• |R| = 65 units
• θ = 67.38°

Explanation :-

# Given :-

• x = 25 units
• y = 60 units

# Solution :-

Let R be the supposed vector such that -

R = xi + yj

Resultant magnitude of vector R is given by -

|R| = √(x² + y²)

|R| = √(25² + 60²)

|R| = √(625 + 3600)

|R| = √(4225)

|R| = 65 units

Direction of vector R is given as -

θ = arctan(y / x)

θ = arctan(60 / 25)

θ = arctan(2.4)

θ = 67.38°

Therefore, required vector has magnitude 65 units & it makes angle of 67.38° with X-axis.

Thanks ...

Answer 2

Refer to the Attachment.

Refer to the Attachment.Hope it Helps !!!!!