Which of the following is a normal vector to the plane which is parallel to vectors (0,−3,1) and (5,1,0) ? Select one alternative: a. (-1,5,15) b. (3,1,3) c. (1/5,-1,0) d. (5,-2,1)

7. (a) Let v be a vector with initial point (-1, 4) and terminal point (3, -2). Let w be a vector with initial point (-2, -2) and terminal point (6, 7). (i) Express v and w in component form. (ii) Find the angle (in degrees) between the two vectors. (iii) Find the vectors v+w and 2v – w. -

Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and (5, 1,0) ? Select one alternative: O(-1,5,15) (₁-1,0) (5,-2,1) (3, 1, 3)

in this practice question:

Let the following vectors be in R³ a = (1,3,-1) b= (-2,1,3) c = (3,2,1) d = (1,-1,2) 14.- Perform the cross product of the following vectors: (a²* 3b) = (d² * 3a) =

Find two vectors Vy and V2 whose sum is (-5, –3), where 7y is parallel to (2, 5) while Uz is perpendicular to (2, 5).

Let u+v = (3, –2) and u – v = (-4, –3). (a) Find u and v. (b) Draw the vectors u, v, - u, - v, u+v, (u – v), (-u+v), (-u – v) in the single ry-plane.

Let the following vectors be in R³ a = (1,3,-1) b = (-2,1,3) c = (3,2,1) d= (1, -1,2) * 12- Find the distance of the following vectors: (a – d)² + (2c - b) = a² * (b-d+c) =