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: * REQUIRED 11. If t= and v = find t + v (Make sure you put the vector signs before and after…

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Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

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

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

Q: What is the unit vector in the direction of v = ?

A:

Q: Find the gradient of the function f = xyz-4y z.

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Q: Why is HE vector twice of vector V?

A:

Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

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: Represent the following equations in R? by a vector-valued funetions. (a) (a-h) + (y - k) = r (r-h)…

A: We will use vector valued function of standard equation  x2+y2=a2 rt→=a cost i→+ a sint j^    i.e.…

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: Find the velocity vector v(t), given the acceleration vector a(t) = (3e¹, (Use symbolic notation and…

A: Formula for the acceleration is We have and the initial velocity

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: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

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

A: Given

Q: (14) The straight line L passes through the origin O and is in the direction i+mj. The straight line…

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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: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: Describe the result when a point or line is changed by a vector

A: We will describe this.

Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: Given the vector function: r(t)=(√2t,e¹,e¹) find T(t), N(t), and B(t) and simplify your final…

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Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>