u = (3,-2) and v = (-2, 5 onent form and (b) magnitude (length) of the ve the 2. -2v + v 4. u - v u- 3v 6. -2u + 5v 5 12 u + 8. -

Q: Determine the dot product of (0, 5, 10) and (-3, 1, 0).

A:

Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: M] - [8] x+y -3x+y.

A:

Q: 2 3x + 8x + 4 A) x+ 5

A: To determine:

Q: What is the component form of v?

A:

Q: Find the smallest positive angle between the given pair of vectors. (-1.5). (2.6) The smallest…

A:

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

A:

Q: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

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Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Find the direction of v:v =(7,-2)

A: Given: v→=7,-2

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: Find u · v. u = (7, 12) v = (-4, 5) u v =

A: