Consider two bases B= (b, b2) and C= (c, c2) for a vector space V such that b, =e, - 6cz and by = 5e, + 2c2. Suppose x= b, • 3bz. That is, suppose (xla = .Find (xlc- OA. 16 - 17 11 OC. 15 O D. 8. 16

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Set û= and w= Write as a linear combination of these two vectors For the toolbar, press ALT+F10 (PC)…

A: HHere C1 nad C2 are scalars

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. Show that A x (B x…

A: For the vectors A = Ux + 3uy + 5uz , B = 2ux, 4uy + 6uz, and C = 3ux + 4uy + 5uz. To show :-A x (B x…

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

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Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

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Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: Suppose a, b, c are vectors in R³ for which Then (22a) ((14b) x (10c)) = Check det[a b c] = 2 Which…

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Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each…

A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: Q1. Consider the following vectors: -- () ---- () --C) 2 3 1 3 (a) Do the vectors i, u, w span R³?…

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.