Use a parametrization to find the flux •n do across the surface in the given direction. S 2 F= - 2xi – 2yj + 3z*k outward (normal away from the z-axis) through the portion of the cone z = x +y between the planes z= 1 and z= 2. 191A The flux is (Type an exact answer, using a as needed.) 6

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: B

A: For two vectors A and B, A-B is nothing but adding Aand -B i.e. C=A-B is the resultant of Aand -B.

Q: Find the magnitude ||0|| of the vector ü = i- 3j. Round your answer to 2 places after the decimal…

A:

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

A:

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

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

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Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î =…

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Q: Find the difference vector of the following: and =< ♦

A:

Q: How many different direction vectors does a line have?

A: Query - How many different direction vectors does a line have? Answer- Direction numbers is a number…

Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). O a. cos Cos cos-() O d. cos-() Ос.

A:

Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: ū = (-/3, –1) and w = (1, /3) E. |

A:

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: Find the values of x such that the angle between the vectors and is 45°.

A: Given that The angle between the vectors 6,1,-1 and 1,x,0 is 45°.

Q: Vectors a' and b are perpendicular to one another. Find k : a'(k², –k, 1), b´ (k, 3, – 2)

A: Scalar product of two vectors

Q: In R, evaluate the alternating 2-form 5 = -3· dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: Given that, ξ=-3.dx∧dy on (a,b) Where a=(4,2,12),b=(-7,-4,8) The objective is to show that ξ(a,b).

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: