Problem 4: Vector A has magnitude 22 and points to the East. Vector B has magnitude 37 and points North. Part (a) What is the magnitude of the vector sum of A and B? Numeric : A numeric value is expected and not an expression. r = Part (b) What is the direction of the vector sum of A and B in degrees? Numeric : A numeric value is expected and not an expression.

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.

Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?

Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form (U‚Î + U‚ĵ) N = U₁ =

Vector A has a magnitude of 13 units and points in the positive x-direction. Then, vector B is added making the vector A + B point in the positive x-direction with a magnitude of 37 units. When C is added, the resultant vector points in the negative x-direction with a magnitude of 21 units. Find the magnitude and direction of C.    58 units in the negative x-direction   31 units in the negative x-direction   16 units in the negative x-direction   34 units in the negative x-direction

A vector has an x-component of 23.5 units and a y-component of 31.5 units. Find the magnitude and direction of the vector. magnitude: direction: (counterclockwise from the +x-axis)

Vector A has components Ax = -16.1 and Ay = -4.32. What is the magnitude A of this vector? Determine the angle in degrees between the calculated vector and the +x-axis, measured counterclockwise from the +x-axis. A = 0 = O

A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from the station to the boat had a magnitude of 45.0 km and was directed 15.0° east of north. A vector from the station to the point where the boat was later found is B = 30.0 km, 15.0° north of east. What are the components of the vector from the point where the distress call was made to the point where the boat was found? In other words, what are the components of vector C=A? x component y component O 40.6 km, east 35.7 km, north O 35.7 km, west 17.4 km, north 0 17.3 km, west 51.2 km, south O 17.3 km, east 35.7 km, south O 40.6 km, east 51.2 km, south

A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y axis? 22.62 degrees 55.49 degrees 65 degrees 20.6 degrees 42.82 degrees

A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double the magnitude of A 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) A + B magnitude direction (b) A - B magnitude direction (c) B-A magnitude direction unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis)