If a vector W has components W=-3.0 and Wy=4.0, what is the magnitude of the vector? Make sure your answer has an appropriate number of significant digits.
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A: Given A=13.4m θ=35.2 C=14.1 m α=13
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- Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 2.00. What should be the length of B⃗ so that the magnitude of their vector sum is 5.00?A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitude of 24 and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. C = A + B (a) magnitude direction (b) C=A-B в magnitude direction (c) C = A + 4B magnitude direction (d) = -A-7B ℃ magnitude direction ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) O (counterclockwise from the +x-axis)Vector A= -6i+4j Vector B= -3i-8j How do you find the quantity of abs(A+B)?
- You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, you must use the form: a1i + a2j + a3k Find a unit vector in the direction of qProblem 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 =In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i
- Vector A has components Ax = 10.0 and Ay = -14.3. What is the magnitude A of this vector? Determine the angle 0 in degrees between the calculated vector and the +x-axis, measured counterclockwise from the +x-axis.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.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?
- Page 3 of 8 3. Vector A has a magnitude of 13.6 and is at an angle of 30.5° counterclockwise from the +x- axis. Vector B has a magnitude of 25.1 and is -50.3° from the +x-axis. a. Express the vectors in the unit vector notation and b. find the angle between them.Vector A has an x-component of 8.08 and a y-component of 2.87. Vector B has an x-component of 3.02 and a y-component of 4.60. The magnitude of the vector (A - B) isVector v = <1,1,0> and vector w = <-1,-1,sqrt2>. What is the angle between v and w in degrees?