(i) Is the pair of vectors {(8, 9), (0, 6)} in the standard orientation? (No answer given) (ii) Is the pair of vectors {(6, 7), (8, 8)} in the standard orientation? (No answer given) (iii) Is the pair of vectors {(14, -6), (32, – 14)} in the standard orientation? (No answer given) (iv) Is the pair of vectors {(-1,8), (-6, 1)} in the standard orientation? (No answer given)

Q: 1 4 (a) Determine the cross product of the vectors vi = 2 and v = -2 -4 3 Draw a diagram of the…

A: Solution of the given question is like asVectors in point form

Q: Given the vectors v=[-1. 2, 4] and w=[0. -3, 1], which vector is perpendicular to both v and w? A…

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Q: If a statement is true for all nonzero three-dimensional vectors a, b, and c, write "TRUE" on the…

A: TRUE statement is    The cross product is anti-commutative        TRUE statement is

Q: Given the vectorsA = (2,−4) and B = (−3, 6) in R². How many pairs of real numbers r and s satisfy…

A: System of linear equations

Q: 3. Determine if the sets of vectors given are LI or LD and explain how you know. a) {(3,4),…

A: Here we apply theorems from linearalgebra.

Q: Using the vectors, find the angles of a triangle whose vertices are points A(-1,0,2), B(2,1,–1),…

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Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: 19. (- 4,– 6)

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Q: 8) Given the vectors (5, 5) & (5, -5); both vectors start at the origin, find "e", the angle between…

A: Vector is a quantity that has direction as well as magnitude. In coordinate system, length of vector…

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

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Q: What vector v is given by the coordinate vector B = -21 - -5 1 1 -2 -5] -5 4 {JEJEJEJ} -5 3 -1 3 ? 5…

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο…

A: The objective of this question is to find the result of the scalar multiplication of the vector u by…

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

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Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

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

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Q: - Given the points A: (0,6,2) and B: (-5,-4,6), find the vector u AB

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Q: Find a + b, 4a + 5b, lal, and la - bl. (Simplify your vectors completely.) a = (-5, 12), b = (10, 4)…

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Q: Find the cross products uxv and vxu for the vectors u = (3,4, - 9) and v = (- 1,-1,1). (Di+ k…

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Q: If u = (-9, 10, 8)|and v = (-9,5, –10), then find w| and q| where w is parallel to u, q is…

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Q: Vectors a=(;) b=(;) c=(?) 2a + 3b + 4c = (

A: So here we have to add the matrix by multiplying given conditions so I'm providing hand written…

Q: TRIANGLES AND VECTORS Dot product of vectors given in component form Find (7, 9)-(-1, -8). 品 ロ后仁可…

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Q: Listen Rewrite the vector as a linear combination of unit vectors. v = Ov= -2b + 9c Ov = -2j+9k Ov…

A: For equivalent vector magnitude and slope must be same

Q: Find 9a + 76, la, and la -6. (Simplify your vectors completely.) a=9i8j+7k, b =77-9k

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…