Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| = 35.0 units, and IC| = 30.0 units. B. 45.0° 45.0° (a) Find the resultant in unit-vector notation. R= 45.95i + 15.53j units (b) Find the magnitude and direction of the resultant displacement. magnitude | 48.50 unit(s) direction X ° counterclockwise from the +x-axis

Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00 north of east. One displacement vector is 30.0 km in a direction 40.00 north of west. What is the other displacement vector?     20.0 km in a direction 63.40 north of east      53.7 km in a direction 63.40 north of east       20.0 km in a direction 63.40 north of east      53.7 km in a direction 26.60 north of east

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Two vectors A and B are shown in the figure. Vector A has a magnitude of r = 24.5 and an angle of 0A = 25.9°. Vector B has a magnitude of rB = 44.5 and an angle of 0B = 61.5°. The figure is not to scale. Express each vector in the figure using ijk unit vector notation, A = Axi + Ayj B = B₂i + B₂j where Ax, Ay, Bx, and By are the calculated values of the x- and y-components of vectors A and B, respectively. A = B = B TB OB TA 0

a displacement vector points in a direction of θ= 33 degrees left of the positive y axis . the magnitude of this vector is D= 180 m. enter an expression for the x component vector Dx in terms of D,θ, and the unit vectors i and j.

A displacement vector in the xy plane is 32.0 m long and directed at angle 0 = 24.0° in the figure. Determine (a) the x component and (b) the y component of the vector. (a) Number (b) Number میرا i i X Units Units

Vectors A and B lie in the xy-plane. Vector À has a magnitude of 12.1 and is at an angle of 105.5° counterclockwise from the +x-axis. Vector B has a magnitude of 21.9 and is 250.3* from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, A = Axi + Ayj + A-k B = B₂i + B₂j + B₂k where A., Ay, A₂ and B₁, B₁, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. Ā = B = Find the magnitude and unit vector for the cross product between A and B. |ĀXB| = Identify the unit vector for AX B. j k

A displacement vector 7 in the xy plane is 44.0 m long and directed at angle 0 = 38.0° in the figure. Determine (a) the x component and (b) the y component of the vector. (a) Number Units (b) Number Units

Three displacement vectors of a croquet ball are shown in the figure, where |A| = 16.0 units, |B| = 25.0 units, and |c] = 20.0 units. B. A 45.0° 45.0° (a) Find the resultant in unit-vector notation. R = units (b) Find the magnitude and direction of the resultant displacement. magnitude |unit(s) direction ° counterclockwise from the +x axis

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?