The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

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Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

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Q: The vectors 3 -1 1 i = -3 11 10 + k are linearly independent if and only if k +|

A: We will find out the required value.

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

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Q: Show that vectors (86, 87, –46), (-8, –6, –2), and (-6, –7, 6) are linearly dependent-that is, there…

A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

Q: Graph three different non-zero vectors that sum (add up) to the zero vector.

A: We need to find 3 non zero vectors that sum to a zero vector.

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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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: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Let v1 = (-6, -6, -9), i2 = (3, 3, 12), iz =(-1,-1,6). Are the vectors v1, 02 and vz linearly…

A: See the attachment

Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

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Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: 3. Determine whether the vectors are linearly independent or are linearly dependent in P2. 1+3x+ 3x,…

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

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Q: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

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

A: Linear Combination

Q: each vector as a linear combination of the vectors in S. (If not possible, en s = {(6, -7, 8, 6),…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: How do you know if three vectors are on the same line? (when they are on the same line we call them…

A: Let the three vectors be V1, V2 and V3.   V1, V2 and V3 will be on the same line or co-linear if…