F = 6x i  + 6y j + 7 k; S is "nose" of the paraboloid z = 2x 2 + 2y 2 cut by the plane z = 5; direction is outward

Q: A = 4i - 2j+4k and B = 3i – 6j – 2k, be two non-zero vectors. Find i. A.B. ii. the angle between A…

A: According the guidelines we solve only first one question with all subpart.

Q: ector product of two vector fields: V × (F x G) = (V · G)F – (V · F)G + (G · V)F – (F · V)G %3D

A: Part iii Given, The identity of the vector product of two vector fields is proved.

Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…

A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…

Q: An ant, on the xy plane, is located at the point P = (4.1). The temperature at the point (x, y) is…

A:

Q: If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�,  then…

A: The objective of this question is to find the direction of the force that a moving proton feels when…

Q: Given a vector A = 3a, - 2a, - 16a, find its components normal to the plane 2x + 2y – z + 8 = 0 and…

A: We have to determine component normal to the plane

Q: The vector value of the tension (T) in rope AB equals 8 m 12 m 2 m 4 m C G 11 m 2 m B 6 m 2 m Select…

A: To determine the correct vector value of the tension (T) in rope AB, we need to compute the vector…

Q: Use determinants to find out if the matrix is invertible. 1 -1 -3 0 01 54 3-1 -2 4 2 85 - 1

A:

Q: Let u = 2i - j, v = 4i + j, and w = i + 5j. Find specified scalar u . v + u . w.

A: We will apply dot product of vectors.

Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the…

A:

Q: En arctgʻ 8n +1 n·arctg n=1

A: Given, the series∑n=1∞n·tan-1π8n+12. We will use limit comparison test to test the convergence of…