A displacement vector points in a direction of θ = 23° left of the positive y-axis. The magnitude of this vector is D = 155 m. Refer to the figure. Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j.

The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C = 11.0 m, and D = 28.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.

Three displacement vectors of a croquet ball are shown in the figure, where |A| = 15.0 units, |B| = 35.0 units, and ICI = 20.0 units. A R = 0 B 45.0° 45.0° C x (a) Find the resultant in unit-vector notation. units (b) Find the magnitude and direction of the resultant displacement. magnitude unit(s) direction counterclockwise from the +x axis

Consider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following relationships possible? If so, sketch a picture that shows an example of how they're possible, and identify all the angles between the vectors that make the relationship possible. (Exact angles, not decimal approximations. No calculators.) Relationship: Possible? Sketch: Angles: a. 1A+삐>5 b. A+ B| = 5 c. A+ B| = 1 d. A+미<1 - 1<|A+삐<5

A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at point P2 on the line such that A is orthogonal to the line. Find an expression for A.

Vector A has a magnitude of 12.3 and its direction is 170° counter-clockwise from the +x-axis. What are the x- and y-components of the vector? Ax = Ay =

Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the magnitude of their vector sum. magnitude (m) Enter

Vector A has components Ax=−8.20 and Ay=11.7 . What is the magnitude A of this vector? ?=? Determine the angle θ in degrees between the calculated vector and the +x‑axis, measured counterclockwise from the +x-axis. ?=?

Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 Units

The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or  A+  B+ C = 0. Find the magnitudes of vector B and vector C .