Give an example of two orthonormal vectors in R³.

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: Let V₁, V2, V3 be linearly independent vectors in R". Show that {v₁ + V₂, V₂ + V3, V3 + ₁} is also…

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Q: What is the resultant of vectors a and b? ( A ) GL B

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Q: Why is HE vector twice of vector V?

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Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Let m = (-3,1,5) and n = (5,-1,2). calculate the vector p = n - ((m*n)/(m*m))*m.

A: here we get p=0

Q: 3.) Prove that the left singular vectors of A one the night singular vectors of A".

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Q: Two linearly independent vectors in R3 span R2, is that true

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Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

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Q: 4.) Are vectors Linearly independent? 2 3

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Q: 2 A : 10 %3| 0 -1 4

A: To find out solution of homogeneous set of linear equation of A's we have to find the solution of…

Q: Find a vector orthogonal to both ⟨1,−10,0⟩ and to ⟨0,7,4⟩ of the form

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Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

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Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

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Q: (7,4) by 210 4. Use matrices to rotate the vector degrees counterclockwise about the origin.

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Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their…

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