Vector A has x and y components of -8.80 cm and 13.0 cm, respectively; vector B has x and y components of 13.8 cm and -6.80 cm, respectively. If A - B + 3C = 0, what are the components of C? X = y = cm cm

Vector A has a magnitude of 15.5 and its direction is 320° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay

1. = (OP), = The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures ✔cm Enter to 2 significant figures OP= cm ✔ cm Enter to 2 significant figures OP = 30° (b) Calculate the projections of OP along the x' and y' directions. Enter to 2 significant figures (OP)x= (OP) y¹ = ✔ cm 30⁰ ✔cm X' X (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✔cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other change.

Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – B

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y 'n 0, > X Us What is the resultant magnitude vectors if: U1 = 39 meters at 45 degrees u2 = 56 meters at 67 degrees above the -x axis %3D u3 = 39 meters at 45 degrees east of south %3D Give your answer as a whole number of meters (no decimal places).

The x-component of vector R is Rx = -28.4 units and its y-component is R₁ = 23.6 units. What are its magnitude and direction? Give the direction as an angle measured counterclockwise from the +x-direction. units ° counterclockwise from the +x-axis magnitude direction

What is the magnitude of the component vector Ax shown in the figure? What is the sign of the y component Ayof vector A shown in the figure?

Vector À = 3.0î - 4.0k. (a) Construct a unit vector that 3 is parallel to A. (b) Construct a unit vector that is antiparallel to A. (c) Construct two unit vectors that are perpendicular to A and that have no y-component.

Vector A has a magnitude of 25 units and points in the positive y-direction. Vector B is added to A, giving a resultant vector A + B that points in the negative y-direction with a magnitude of 19 units. What is the magnitude and direction of B?   magnitude unit(s)   direction