Table of Contents
How do you find the magnitude and direction angle?
We find its magnitude using the Pythagorean Theorem or the distance formula, and we find its direction using the inverse tangent function. Given a position vector →v=⟨a,b⟩,the magnitude is found by |v|=√a2+b2. The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application.
What is the angle between and if the magnitude of resultant and are equal?
Both the vectors have the same magnitude. Let the resultant have magnitude equal to vector A. Hence, the angle between the two vectors is 120°.
Which pair of the following forces will never give resultant forces of 2 N?
1 N and 3 N.
How do you find the angle between 6N and 10n?
Calculate the magnitude of resultant and the angle made by resultant with 6N force. Let P and Q be two forces wih magnitude 6N and 10N respectively and θ be angle between them. Let R be the resultant force. So, P = 6N, Q = 10N and θ = 60° Let ø be the angle between P and R.
What is tan^-1 (8/6) = 53 degrees from North?
You can use pythagoros’ theorem (A^2 + B^2 = C^2) to get the third side. To get the bearing you can use trigonometry to get 8 as the opposite and 6 as the adjacent. Resulting in Tan^-1 (8/6) = 53.1 degrees from North
How do you find the magnitude of a triangle?
To figure out the magnitude you simply draw a right angled triangle triangle, 6N one side and 8N at a right angle for the other side then connect the two. You can use pythagoros’ theorem (A^2 + B^2 = C^2) to get the third side.
How do you find the direction of the resultant?
Direction of resultant: Let ø be the angle made by resultant R with P. Then, which is the direction of resultant. Two forces of magnitude 6N and 10N are inclined at an angle of 60° with each other. Calculate the magnitude of resultant and the angle made by resultant with 6N force.