19-22 - Writing Vectors in Terms of i, j, and k Express the given vector in terms of the unit vectors i, j, and k. 19. (12, 0, 2) 20. (0, -3, 5) 21. (3, –3, 0) 22. (-a, ļa, 4)

Q: (1) Find the area of the triangle and indicate its type.

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Q: Which is the vector perpendicular to the vectors n₁ = (2, -3,0) and n2 = (1,7,9)?

A: Given that: n1→=2,-3,0, n2→=1, 7, 9 The perpendicular to the vectors n1→ and n2→ is required.…

Q: 19. (- 4,– 6)

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Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= 8 6 2 (ii)…

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Q: Find the volume of the parallelepiped determined by the vectors a č = (2, 4, 1). (3, 5, – 1), 6 =…

A: The volume, V , of a parallelepiped is calculated using the scalar triple product, V=c·(a×b) . Use…

Q: The vectors listed in Eq. (10) are used in several of the exercises that follow. VI = [2]· 2 -[3].…

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Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

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

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

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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: 1-4 - Operations with Vectors Find u|, u + v, u - v, 2 u, and 3u - 2 v. 1. u = (-2, 3), v= (8, 1) 3.…

A: 1). Given vectors are u=-2,3, v=8, 1. To find: u, u+v, u-v, 2u and 3u-2v. Solution: We have u=-2,3…

Q: vector A = -3 i +6j - 5 k vector B = -2 i + 3j+ k find: (vector A + vector B). (vector A - vector…

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Q: Q1: You have the following vectors: U= 6 2 4 V= 3 -2 3 0 3 W = -4 Z- 2 2 2 Which of the vector…

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Q: Find the vector v = PQ. Р- (2, 1,4) Q = (-8.25, -4.25, 8) v =

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Q: 3 # חי Let v be the vector from initial point P₁ =(-9,-6) to terminal point P₂ = (5,5). Write v in…

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Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: -- () ---- () - and v= is 2 3 The area of the parallelogram formed by the vectors u = 3 and the area…

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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: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

Q: et u and v be vectors in R 3 such that ∥u∥ = 30 and ∥v∥ = 5. What can we best say about |u · v|? (a)…

A: One must verify a few claims, using the rule of dot product.

Q: Prove using vectors that the points represent the vertices of a triangle then (1) Find the area of…

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