Question

A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The angle which the vector makes with the positive x-axis is:​

Answer 1

Answer:

This is quite simple to calculate because we know the following:

This is quite simple to calculate because we know the following:R = 25

This is quite simple to calculate because we know the following:R = 25X = 12

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = angle

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degrees

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degreesThe y-component of this vector could be positive (upward)

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degreesThe y-component of this vector could be positive (upward)…and then the angle with the positive x-axis is 61.31 degrees

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degreesThe y-component of this vector could be positive (upward)…and then the angle with the positive x-axis is 61.31 degreesOR

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degreesThe y-component of this vector could be positive (upward)…and then the angle with the positive x-axis is 61.31 degreesORThe y-component of this vector could be negative (downward)

This is quite simple to calculate because we know the following:R = 25X = 12cos(angle) = X/R = 12/25arccos(X/R) = anglearccos(12/25) = 61.31 degreesThe y-component of this vector could be positive (upward)…and then the angle with the positive x-axis is 61.31 degreesORThe y-component of this vector could be negative (downward)…and then the angle with the positive x-axis is -61.31 degrees.