Evaluate the commutator L,, L, L,- (a) h'L, (b) 0 (c) h'L, (d) h°L.

Q: Let S = (-1m)î + (2m)ƒ – (3m)k and T = (4m)î – (6m)k. The angle between these two vectors is given…

A: Given data: S→ = -1mi^ + 2mj^ - 3mk^T→ = 4mi^ - 6mk^ Required: The angle between vectors

Q: In the shown figure, the length of the side of the square is 20, if q=Q is placed at point "1", the…

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Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

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Q: If A=3i+7k and B= -1+2j+k. What is the angle between vectors A and B ?

A: The dot product of the two vectors can be calculated as,

Q: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

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Q: Two vectors are given by (A= 3i+Ay j) and (B= 2i +4 j). if the angle between them is 90°, then ?the…

A: Given:A=3i+AyjB=2i+4jAngle ,θ=90°Now,a.→b→=|a|b| cosθIf ,θ=90° ,…

Q: Find the mass of the block 0 <x< 4,0 < y< 8,0 < z< 1, whose density 8, is given by 8 = 2 – z for 0)…

A: The density is given by: ρ=2-z The mass of the block is calculated as:…

Q: Let R Sx TŤ and e tails at the same point. Which of the following is NOT true? 90° is the angle…

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Q: Two vectors live with their tail at the same point. When the angle between them is increased by 20…

A: The scalar product between two vectors can be expressed as

Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }

A: To solve the given question, we will write down the given two vectors in vector form and then we…

Q: At what altitude h above the north pole is the weight of an object reduced to 27% of its…

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Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Given the function D= 3x²y - y³z², find the gradient VQ. b. a. 6xyî+ (3x² - 3y²z²)ĵ- 2y³zk…

A: Given, Φ = 3x2y - y3z2

Q: Find the angle between the two vectors Ả = 2 î + 3ĵ + k B = -4 î + 2ĵ – k and

A: Given  A=2i+3j+k B=-4i+2j-k

Q: determine the resultant of the following 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200° all angles…

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Q: Let 2 vectors å anb b a 121=53161-5 in the plane of modules. How much is the magnitude of their e…

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Q: The cross product of j x i is a. 0 b.1 c. –k d. -1

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: lands at the point having the coordinates (1.84, 1.18) m, determine tne polar coordinates or the…

A: x= 1.84m    and y= 1.18m

Q: What is the angle e between vectors à and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

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Q: Consider a vector field of A = (2x-z) i + xyj - x ²k taken over the region (a cube) bounded be x =…

A: Vectors are physical quantities that have both magnitude and direction. Scalars on the other hand…

Q: What is the angle between the two vectors A = 2i + 3j and B = i- 2j is * A 0° 120° 90° 60°

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Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

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Q: vector algebra dot product of (i+j+k) and (i-j+k) is?

A: Given : Vector 1 →V1→=i^+j^+k^ Vector 2 →V2→=i^-j^+k^

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,…

A: Vertices of rectangle: A(5,6), B(8,12), C(-40,36), D(-43,30)  When we'll plot these vertices on…

Q: Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the…

A: Answer                +√35  ,  -√35

Q: In the graph given below, at the point B, the nature of gradient (dy/dr) is A 4

A: Ans : b) zero

Q: : Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' axes are ated about…

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Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

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Q: If v×w =2i −3j+2k, v×w=2i−3j+2k, and v⋅w=5, and θ is the angle between v and w, then

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Q: - Calculate that [x, y] and [P],

A: In quantum mechanics, position operater, x^ , y^ , z^momentum operator, p^x, p^y, p^zQuantum…

Q: Find D in cartesian coordinates) at P(6,8,-10) caused by a uniforms surfacecharge density p,…

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Q: What is the angle between tw vectors A = 4i + 12j + 6k and

A: GivenA→=4 i+12 j+6 kB→=24 i-8 j+6 k

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: If the direction E in space 1 is given as shown below and the magnitude E, = 5 volt. Find E, in…

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Q: given a circle of radius a, find by integration using polar coordinates (d) its circumference…

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Q: Prove the property of the cross product u × v = 0 if and only if u and v are scalar multiples of…

A: The cross product property of vectors is given by:u×v=uvsinθ......(1)where,u and v are the magnitude…

Q: 2)1F the Volume is egual to Zero ,then the all Vectors line in the same planc. a.T b.F

A: Given  volume of parallelepiped formed by the vectors is zero

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…