Q1. Chose the correct answer and prove your choice: 1. The angle between the planes (5x+y-z=10) and (x-2y+3z = -1) is equal to: (a) 45° (b) 90° (c) 30° (d) 0º 2. One of the following vectors is perpendicular to the plane: 4x+9y-z = 25: (a) 4i+9j-k (b) 9i+4j+25k (c) 41+9j 3. The series (n-0(-1)") has a sum equal to (b) 2/3 (a) 2 (c)-2 (d) 4i+9j+k (d) 4/3

Q: Find the divergence and curl of the following vectors: i. P=r sinø î +r²z® + z cos Ø 2 ii. Q = cos 0…

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A: Ans (a)-->

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A: integral (A.dl) is the line integral of the A along the path dl. Along the path L2 dl is a phi.

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Q: Problem [2] In the figure below, write F= 1000 lb in the Cartesian vector form. 6 ft 4 ft A F-1000…

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Q: Question 7 Integral of Vector A= 2p sin(@)ap +0.5z?cos(9)az along L1 L2 L1 180° L3 30° -5 12.5 20…

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Q: The operator 'B' which should cause 120° rotation in anticlockwise direction when multiplied by each…

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Q: Question 28 Consider the vectors A =4ax+2kayta, and B = ax+4ay-8a, what value of k the two vectors A…

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Q: 1f you know that the vector calculate the value of cBi that make the vector ertically.

A: The solution is given below

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Q: .Find the projection of the vector A = i– 2j + k on the vector B = 4i – 4j + 7k.

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Q: Vector Field C= «ty)ax+ xay tCy+zJQz D= (2ty)ax+ Yay + (xtD az A-B=? C- di Zxz +2zyt2xY+2y*+x°y²

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Q: Question 12 Divergence operation results will always Scalar Vector Scalar or Vector Non of choices

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Q: Q4. Find the angle that the vector A = 3î – 4ĵ makes with the positive x-axis Q5. Show that the…

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Q: Evaluate VXA and V.(VXA) for the vector A = x2y ax + y2z ay -4xz az.

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Q: The operator 'B' which should cause 120° rotation in anticlockwise direction when multiplied by each…

A: we need to calculate the value of beta3.