Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8). %3D (4, 6, 4) = i u- V+ W

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

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Q: 3 5.6 4 8.75 5.

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Q: 20° 55°

A: To calculate the value of x and y.

Q: Find X ,Y and Z

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Q: Find VW. W V. 20 36 18 VW = Submit

A: Explanation of the answer is as follows

Q: x² – 3x + 7 15. X – 2

A: Long Division Method  first term of the numerator is divided by the first term of the denominator,…

Q: Calculate (a +5) -č where a = (-1, 2, 3), 5= (1, 1, 1) and = (2,-2, 1)

A: Consider two vectors u→=u1, u2 and v→=v1, v2. Then the sum of these two vectors is defined by…

Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

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Q: hat is the dependent variable in y= -

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Q: Given u(x)= x +3 and v(x)= 9x – 4, find u v. O 9x² – 12 - O 9x² + 27x – 4 O 9x+ 23 x - 12 O 9x + 23…

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Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: Is the ordered pair (4, 7) a solution to which equation O 3x + 4y = 4 O 3x = -4y+ 4 O y = 3/4x + 4…

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Q: 2 -1 2 2.

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Q: Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x +…

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Q: (6,8),(7,7),(9,8),(12,11) find the value of r and round to four decimal places.

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Q: du dt el.3t-3.1u, u(0) = 3.8

A: Given:The derivative .the condition is To Find:The value of .Concept Used:Integration formula used:,…

Q: write of linear Combination as a V,Vz, V3 where V= (2,7,10), V.=(1,2,3),V2=(1,3,5), V3=(1,5,9)

A: Let us assume v can be expressed as linear combination of v1, v2 and v3 v=av1+bv2+cv3…

Q: 3x + 5y = 4 3 (x, y) = %3D 4/3 %3D

A: We will solve the following equations as fellow:-

Q: Which would be the dependant variable, y?

A: Dependent variables are those which are being measured or tested in an experiment. They depend on…

Q: Calculate the linear combination: 1(-2, 5, –4) + 2(5, –1,0) =

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