Math

Vectors Solutions

4. X(-1, 2, 6) and Y(5, 5, 12) are two points in R³. a). Determine the components of a position vector equivalent to YX. b). Determine the components of a unit vector that is in the same direction as YX.

Given the following vectors, calculate - 9u +7v. u = {-9,-8}, v = {-1, -3}

Given the vector u defined by the points: (3,4), (8, -7). Find the component form of the vector. Assume the first point is the initial point and the second point is the terminal point.

Given the vector u defined by the points: (3,4), (8, -7). Find the magnitude of the vector.

Which of the following represents vector t = PQ in trigonometric form, where P(-10, 13) and Q (-20, 7)? O t = 11.662 cos 30.964°i + 11.662 sin 30.964°j ; O t= 11.662 sin 30.964°i + 11.662 cos 30.964° j O t= 11.662 cos 210.964°i + 11.662 sin 210.964ºj O t= 11.662 sin 210.964°i + 11.662 cos 210.964°j

Which of the following represents vector u=RS in linear form, where R (-22, 6) and S(-35, 14)? O v= 8i - 13j O v= -8i +13j O v = 131 + 8j O v= -13i + 8j

Vector u has initial point at (4,8) and terminal point at (-12, 14). Which are the magnitude and direction of u? a)lull = 17.088; θ = 159.444° b)|lull = 17.088; θ = 20.556° c)llull = 18.439; θ = 130.601° d)|lull = 18.439; θ = 49.399

For the vectors M = (√3, -2, -3) and n = (2, √3, -1), determine the following: a). the angle between these two vectors, to the nearest degree b). the scalar projection of ñ on m c). the vector projection of n on m

Find the magnitude and the positive direction angle for u. u = 〈12,-5〉 |u| = 13 ∅ =▢⁰ (Round to the nearest tenth as needed. Use angle measures greater than or equal to 0 and less than 360.)

Find the magnitude and the positive direction angle for u. u= (12,-5).

Add the vectors ū= (-1,0) and ✓ = ( - 2, 3) graphically. Your graph should include u, ū and the resulting vector ū = ū +ū = 71 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 - 1 1 2 3 4 5 6 7 -2 N -3 -4 -5 -6 -7+ Clear All Draw:

Two ropes hold a crate as shown below. The tension in one is 764 N in a direction of 24° with the horizontal, and the other has a tension of 939 N in a direction of 42° with the horizontal. How much does the crate weigh? 24 42 764 N 939 N The crate weighs N

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