Select the option that gives the vector field that could correspond to this arrow map.

Q: What is a vector?

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

Q: state a vector with all non-zero entries which is orthogonal to v⃗

A: Given v vector  Let w vector be orthogonal to v vector  Then w vector . v vector = 0

Q: what are the examples of contravarient and covariant tensors?

A: Example of Covariant tensor: A'i=aijAj

Q: Define direction vector.

A: Define direction vector.

Q: Describe 2-dimentional vector addition for any scenario? Put your best example over here.

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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: 9. Show that is a two-dimensional vector. Ai = -x2 X1

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Q: 3. Write u= -=[3] as a sum of vectors, one in the direction of and another orthoganal to a. -1 a=

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Q: discuss the directional vectors (gradient and curl) with physical examples.

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Q: Find the scalars if they are linearly dependent.

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Q: 1 The vector -3 belongs to M2. Select one: O True O False

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Q: Find the vector pointing in the direction opposite that of (6, –8) with length 20.

A: The given vector  6,-8 For a given vector v, to find a unit vector u in opposite direction of v…

Q: what if it was the same vector, but 5y^2j?

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Q: Which vector in two-dimensional space has no corresponding unit vector?

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Q: What role does the curl of a vector play in an application?

A: We have to write the curl of a vector play in an application.

Q: Find the orthogonal projection of the vector onto the vector .

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Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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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: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: -2 Show whether or not the vector bs is a linear combination of the vectors a, = az = and az = that…

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Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

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

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Q: Define the term column vector.

A: Column Vector is defined as a column matrix representing the elements of any vector written in…

Q: Define the vector?

A: we have to define the vector.

Q: et a . Find a unit vector in the -

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Q: In R3, derive the equation of a line in vectorial, parametric and canonical form.

A: Parametric equations of a line in R3 :Parametric equations of the line can be written as…