Calculate the curl of the following vector function: v. = y?x + (2xy + z²)ŷ + 2yzz
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Q: c) Identify the Miller indices of this plane: 2/3
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- Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR . P(-1,1,0), Q(0,0,1), R(0,0, – 1)Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise from the positive x axis, whereas the vector B has a magnitude of 3m and lies in the yz plane directed at 30 degrees from the positive z axic. Find the cross product A x B and the angle between the vectors.What is the angle θDθDformed by D⃗ (from the picture) and the +x+xaxis? Use counterclockwise to denote positive angles. Answer with 2 significant figures.
- Determine the Miller indices for the directions A, B, C and D shown in the following cubic unit cell.Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is understood that A and B are 3 dimensional vectors, and x, y, and z are vectors of length 1 along the x, y, and z axes. A scalar +12 A scalar +16 A vector perpendicular to both A and B A vector 6x +32y -14z
- Consider vectors a = (3, −12) b = (−1, 4)and c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.Evaluate the dot product A - Bif A = 2i +7j and B = 7i – 5j. ? A-B= Submit Request Answer Part B Evaluate the dot product A - Bif à = 2î – 7j and B = 5i +7j.Vector A = 2 +33 and vector B = 51-43 +3k. Part A What is the cross product Ax B? Find the -component. Express your answer as integer ► View Available Hint(s) A × B]x = Submit Part B IVE ΑΣΦ α B Y V Ax By = A Submit T P Σ Previous Answers Φ Ψ Ω Find the y-component. Express your answer as integer ▸ View Available Hint(s) € n 6 T φ - ΑΣΦ ħ 0 χ E • * Incorrect; Try Again: 5 attempts remaining A component of a cross product does not equal the product of the respective vector components. You may need to review The Vector Cross Product. You may want to review Hint 1. How to approach the problem. K y @ 2 μ ? ?
- ex12022, before 4: 06pm. Submit all assignments in my Assignment Box in the Division office. Question 1 oone Find the scalar and vector products of two vectors, (3î – 4j + 5k) and b = a = (2î + j - 3k). Question 2 Use the geometric definition of the cross product and the properties of the cross product to calculate the following: a) (k +j) × (k - i) b) (î + j) × î) × ĵ) c) (4î × (î + ĵ) Question 3 The following external forces are acting on a body: F1 = (10, 2,1)N at point P (4,0,0)cm , %3D F2 = (0,0,5)N at point P2 (1,-3,0)cm and