For what values of k (if any) do the following three vectors span (a) a line,...

For what values of k (if any) do the following three vectors span (a) a line, (b) a plane, or (c) all of R³? (1, 2, 3),(3, k, k + 3),(2, 4, k)

Expert Solution

milcah answered 2 years ago

Which of the following vectors does not belong to span{ (2,0,3), (3,0,2) } ? a) (5,0,5)...

Which of the following vectors does not belong to span{ (2,0,3), (3,0,2) } ? a) (5,0,5) b) (1,0,-1) c) (3,2,0) d) (0,0,5)

What do you see are Jesus’ three core values? Do you share any of those same...

What do you see are Jesus’ three core values? Do you share any of those same values? Are there any of these values that you would like to have and to maintain?

Do the following sets of vectors span R^3? 1) [1,3,1], [3,9,4], [8,24,10], [-10,-30,-13] 2) [1,2,3], [-1,-2,-4],...

Do the following sets of vectors span R^3? 1) [1,3,1], [3,9,4], [8,24,10], [-10,-30,-13] 2) [1,2,3], [-1,-2,-4], [1,2,2] 3) [-1,-3,-1], [-4,-12,-3] 4)[1,2,-2], [7,5,7], [-4,-1,-11]

Determine all values of a for which the following set of vectors is dependent or independent....

Determine all values of a for which the following set of vectors is dependent or independent. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. ⎧ ⎪ ⎨ ⎪ ⎩⎫ ⎪ ⎬ ⎪ ⎭a001, 12−2−2, 48−8−9Dependent: When a = 0Independent: When a ≠ 0

Use normal vectors to determine the intersection, if any, for each of the following groups of...

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a vector equation of the line. If the planes intersect in a point, determine the coordinates of the point. a x + 2y + 3z = −4 b x + 2y + 3z = −4...

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is...

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is a line, plane ,or R3. Justify your answers. (a)v1= (1,2,−2),v2= (7,−7,−7),v3= (16,−12,−16),v4= (0,−3,−3) (b)v1= (2,2,2),v2= (6,6,5),v3= (−16,−16,−14),v4= (28,28,24) (c)v1= (−1,3,−3),v2= (0,0,0),v3= (−2,6,−6),v4= (−3,9,−9) #2 Plot the linesL1: x= t[4−1] and L2: x= [−4−2] + t[4−1] using their vector forms. If[12k]is onL2. What is the value of k?

Three vectors A, B and C are related via A+B=C. Which of the following diagrams illustrates these vectors?

Three vectors A, B and C are related via B+C = A. Which of the following diagrams illustrates these vectors?

How do I find the angle between two three-dimensional vectors?

Do you notice any potential outliers? If so, what values are they? Show your work in...

Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula to determine whether or not the values might be outliers. Construct a box plot displaying your data. Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this. Looking at both the histogram and the box plot, discuss the distribution of your data. # of pencils Frequency Culumative...

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