What is the angle made by the line y =- X with positive direction of x-axis?

The angle that the line makes with the positive X axis in the new coordinate system is the inverse tangent of the slope in the new coordinate system. makes with the positive X axis in the old coordinate system is arctan(−ab).

How do you find the angle of a vector with the Y axis?

If we wish to find the angle between A and the y-axis, we can use any vector that only has a y-component. It is easiest to use the unit vector in the y-direction which is denoted by y= 1j. To calculate the angle between the two vectors, we only need to manipulate the dot product equation.

What is the angle between X and Y axis?

900
So the angle between x axis and y axis is 900.

What angle is Y X?

It is always at 45∘. It may not “look” like 45∘, but that’s because you’re “cheating” and measuring the angle with the original coordinate system. Then again, if you measure the coordinates of a point (x,y) on the line y=x in the scaled system using the original coordinate system, then clearly y≠x.

What is the angle between 2i 2j and y-axis?

The required angle is 45°.

How do you find the angle between a vector and x-axis?

How do I find the angle between a vector and the x-axis? The cosines of the angles a vector makes with the cartesian coordinate axes are the direction cosines. If vector A makes an angle θ with the x -axis, then it’s direction cosine along x- axis is, cosθ = α.

How do you find the direction of an angle?

The direction is often expressed by the direction angle, i.e. the counterclockwise angle that F makes with the positive x axis. After we have found θ, we can easily determine the direction angle.

What is the magnitude and direction angle of the force?

Looking at the xy -plane above, we see that we just need to add 180 ° to θ. Therefore the direction angle of the force will be 53.9 ° + 180 ° = 233.9 °: Hence, the magnitude is 658 N and the direction angle is 233.9 °.

Why is the magnitude of a negative force -f x?

It is − F x because F x is negative, and the magnitude must be positive. Find a force knowing that its x and y components are 50.0 N and 21.2 N respectively. In this case θ is already the direction angle of F. Indeed θ is the counterclockwise angle that F makes with the positive x axis.