Question

please help me. than

A vector A^rightarrow has a magnitude of 9 units and points in the -y direction, while a vector B^rightarrow has double the magnitude of A^rightarrow and points in the +x direction. What are the magnitude and direction of the following vectors? Give the directions of each as an angle measured counterclockwise from the +x direction. A^rightarrow + B^rightarrow magnitude unit(s) direction Use trigonometric functions to determine the angle. Check this angle against your diagram. Based on the signs of the components, in which quadrant does the vector lie? degree (counterclockwise from +x-axis) A^rightarrow - B^rightarrow magnitude Draw a diagram of the vectors and the resultant. What are the components of the vectors? How does scalar multiplication affect the components of a vector? direction Use trigonometric functions to determine the angle. Check this angle against your diagram. Based on the signs of the components, in which quadrant does the vector lie? degree (counterclockwise from the +x-axis) B^rightarrow - A^rightarrow magnitude Draw a diagram of the vectors and the resultant. What are the components of the vectors? How does scalar multiplication affect the components of a vector? How do you use components to do vector addition or subtraction? unit(s) direction Use a trigonometric functions to determine the angle. Check this angle against your diagram. Based on the signs of the components, in which quadrant does the vector lie? degree (counterclockwise from +x-axis)

Answer 1

A = - 9 j

B = 18i

(A) A + B = 18i + 9j

magnitude = sqrt(18^2 + 9^2) = 20.12 units

direction = 360 - tan^-1(9/18) = 333.43 deg

(B) A - B = - 18i -9j

magnitude = 20.12 units

direction = 180 + tan^-1(9/18) = 206.6 deg

(C) B - A = 18i + 9j

magnitude = sqrt(18^2 + 9^2) = 20.12

direction = tan^-1(9/18) = 26.6 deg