Three displacement vectors of a croquet ball are shown in the figure, where A = 19.0 units, B = 25.0 units, and C= 10.0 units. 0 R = B 45.0° 45.0° č x (a) Find the resultant in unit-vector notation. units (b) Find the magnitude and direction of the resultant displacement. magnitude unit(s)
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- A vector has the components Ax=22mAx=22m and Ay=16mAy=16m. a) What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units. b) What angle does this vector make with the positive x axis? Express your answer to two significant figures and include appropriate units.Three displacement vectors of a croquet ball are shown in the figure, where JA| = 21.0 units, IB| = 35.0 units, and |C| = 30.0 units. B 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 axisVector A has a magnitude of 14 units and points in the positive y-direction. When vector B is added to A , the resultant vector A + B points in the positive y-direction with a magnitude of 35 units. Find the magnitude and direction of B. 21 units in the positive y-direction 14 units in the positive y-direction 49 units in the positive y-direction 35 units in the positive y-direction
- Vectors A and B are shown in the figure. Vector C is given by C = B - A. Themagnitude of vector A is 16.0 units, and the magnitude of vector B is 7.00 units. What is the magnitude of vector C?Problem 2: A vector has x and y components 7.8 and 9.9 respectively. Part (a) What is the magnitude of this vector? Numeric : Anumeric value is expected and not an expression. r = Part (b) What is the direction of this vector in degrees? Numeric : A numeric value is expected and not an expression. 0 =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.Vector A = 7.4 i + 3.2 j. Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in degrees.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
- 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 =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)