Match the vector fields: ? curl(F)=0 ? curl(F)=2 ? curl(F)=0 1. div(F)=4, 2. div(F)=0, 3. div(F)=-1, A B C

Q: When the vector b = -2 is projected onto the line spanned by the vector a = 1 what is the error 2…

A: The projection of b onto a line spanned by a vector a is  b.a^=b.a|a| Given:  b=[-2-2-1]…

Q: What is a vector?

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

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: Write the scalar equation of the line given the normal vector point Po(-2,-4). n = and a

A: Scalar equation of a line is given by , Ax+By+C =0, where (A,B) are the cordinates of normal vector…

Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

A: New line will be shifted to 2 units right and 1 unit down.   Point on x axis (2,0) Point on y axis…

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

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

Q: Why is HE vector twice of vector V?

A:

Q: Determine the direction angle 0 of the vector to the nearest degree. t= (9, 7) (Round to the nearest…

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

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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

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Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: To normalize x = (7,3) and obtain a unit vector in the same direction, what do you divide by?…

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Q: 1. Four coplanar vectors are expressed with respect to the x and y axes as: A = 3î + 4j B = 6î – 8f…

A: Suppose we n coplanar vectors ;                            a1=x1i+y1ja2=x2i+y2j⋮=⋮⋮=⋮an=xni+ynj To…

Q: Normalize the vector

A: Approach to solving the question:Please see attached photo for detailed solutions. Thank you.…

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

A:

Q: 5. Drop a vector from the set A {sin'x,-1,1, sin 5x} to make it independent in F(-00, 00)

A: A set is linearly independent if no vector can be written as linear combination of others.

Q: Determine the angle that the vector [- /3, – 1] makes with the positive horizontal X - axis

A: To find the angle between the vector -3,-1 and positive x-axis