Let a = (1, – 5, 3) and b = ( – 5, 3, k). | Find k so that a and b will be orthogonal. k =

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: u= (2, 1, –1) v = (-4, 3a + B, 2) w = (a, 0, 26) Find the values of a and ß such that u is parallel…

A: In this question we will use basic of calculus i.e concept of vector product. We will use the…

Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: Let u = , v = , and w = . find uw

A:

Q: Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a…

A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: Write (3,5, 0) =₁₂, where ₁ is parallel to (3,9, 9) while 2 is perpendicular to (3,9, 9). √₁ = √2 =

A: Step 1: Recall some concepts. Step 2: Given informations and derived some results .Step 3: Find the…

Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

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Q: Show that quadrilateral QUAD, with Q = (-1.-4). U = (4. 11). A= (1, 12), and D= (-4,-3), is a…

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Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Find the midpoint of AB if A(-3, 8) and B(-7,-6). O (-5, 1) O (1,-5) O (1,5) O (-5, 2) Previous Next

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Q: Are AB and PQ parallel, and if so, do they paint in the same dırecton? A= (4,4) B= (-S, 2) P= (0,-1)…

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Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

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Q: be the sets B1={u1=(-3,0,-3),u2=(-3,2,-1),u3=(1,6,-1)} B2{v1=(-6,-6,0), v2=(-2,-6,4),v3=(-2,-3,7)}…

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Q: = x° + y*, ¤ = + u, and y = v – u². Find Your answer should be in terms of r, y, u, and v. dv

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Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: Which is greater 8 radians or 80 degrees? Give a mathematical explanation to justify your answer.

A: topic - angle conversion

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: Express the GCD of (210,162) as a linear combination of 210 and 162.

A: Here, we have to find the GCD of (210, 162) as a linear combination of 210 and 162. For this, we…

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.