31-32 - Operations with Vectors Find u|, u + v, u - v, and žu - 2v. 31. u = (4, -2, 4), v= (2, 3, – 1) 32. u = 6i - 8 k, v = i-j+k

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

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Q: Let a = -2 and b = 3 (b) = the component of b in the direction of a . = (-5*14^0.5)/7 -2 be vectors.…

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Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: the ear nt. is lie he in ns ne Each statement in Exercises 33-38 is either true (in all cases) or…

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Q: d Perform the following Operations on the | 14 = (-2₁-3₁-5), V = (4₁-2₁-1) to W² = (-404) R₁W = [ (u…

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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: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: 7. Consider the following two vectors: u = (5, –3) and v = (2,3) (a) Evaluate |u| and |v|. (b) Find…

A: As per guidelines, we are supposed to do only the first three parts of multipart question. If you…

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: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.

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: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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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: Find the vector v, where u = (-2, 3) and w = (-3, -2). Su + w) Illustrate the specified vector…

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

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Q: 4. (a) Determine if the four points P¿(1,1, –2), P2(4, 0, –3), P3(1,–5,10), and P,(-7,2, 4) lie on…

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Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: Perform the indicated operations for the given vectors. r=(4, 7), -(10, -10)..-(1, -6) Find v+s-r…

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Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…