(1 point) Find a representation of the vector AB-(-5,-14,8) in R3 by giving appropriate values for the points A and B such that neither A nor B is the origin. A= (514-8) help (points) B= help (points)

Calculate v x w = (u₁, U2, U3). v = (9,5,6) w = (-8, 4, -7) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) VX W = 15i + 76j - 59k Incorrect

Determine the dot product of the two vectors shown in the diagram. 5- (3,5) 4 -2 -1, (4.-2) Paragraph BIU A + Lato (Recom... v 19px ... v of

The zero vector 0 = (0, 0, 0) can be written a linear combination of the vectors v., v,, and v- because 0 = Ov, + 0v, + 0v3. This is called the trivia! solution. Can you find a nontrivial way of writing 0 as a linear combination of the three vectors? (Enter your answer in terms of v., v,, and v- If not possible, enter IMPOSSIBLE.) V1 = (1, 0, 1), V2 = (-1, 1, 2), V3 = (0, 1, 6)

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Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(6, -7, 8, 6), (4, 6, -4, 1)} (a) u = (6, 25, –-20, -3) $1 + u = (4, 5 -10, 2) 41 75 (b) (c) (-4, -14, 23, 37) w = 8 1 + (4) z- (14, -3, 7, 4) (d) z = z =

a, b, and c are vectors. Then the expression a×c+b×a is (a) Meaningless (b) A vector collinear with a (c) A vector orthogonal to a

write v in form ai+bj, find its position vector. There are 2 examples I need to find and solve: example I:          P=(3,2); Q=(5,6) example II:          P=(1,0); Q=(0,1)

The figure below shows two named points A and B in R?. 6 4 A -1 -2 -3 -4 B -5 -6 -6 -5 -4 -3 -2 -1 5 6 1 3 4 > Part 1 Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0, -2). ВА- + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA = +

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