Find the cross product a X b. a = (4, 5, 0), b = (1, 0, 9) Verify that it is orthogonal to both a and b. (a x b) - a = (a x b) - b =

Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

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Q: bäi The cross product of the vectors 3ax + 4ay – 5az and -ax + ay - 2az * ,is -3ax+11ay-7az O -3ax +…

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Q: Find the cross product a × b. a = (7, 0, -3), b= (0, 6, 0) Verify that it is orthogonal to both a…

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Q: Find a vector a with representation given by the directed line segment AB, where A(-2, -2) and B(4,…

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Q: Use vectors to show that the distance from P1(x1, y1) to the line ax + by = c is d = |ax1 + by1 -…

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Q: Calculate the cross product for (i − 3j + 2k) × (j − k)

A: Given, i-3j+2k×j-k To solve the above cross product.

Q: The vectors a =(1; 4; 2021) and b = (2; -8; 199) are obviously non- %3D orthogonal because the dot…

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Q: Consider two vectors A and B prove that the cross product between them can be calculated as follows…

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Q: Calculate the cross product assuming that u x w = (-8, -1, -5) (5u + 3w) x w =

A: Solution

Q: Find the cross product a × b. a = (1, 1, – 1), b = (3, 8, 10) Verify that it is orthogonal to both a…

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Q: Which of the following vectors is orthogonal to the plane 3(x - 7) + (y + 8) - 5z = 15? O O O

A: Given equations of plane 3(x-7) +(y+8)-5z=15this is an equation of the form a(x-x1)+b(y-y1)+…

Q: Consider two vectors A and B prove that the cross product between them can be calculated as follows…

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Q: Find the cross products u x v and v xu for the vectors u = (4,4,0) and v = (0,2, - 5).

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Q: Consider vectors, 2 u = |2, v = w = |-3 (a) Do these vectors line in a plane ? Why? Why not? Find…

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Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a…

A: We can make it easier for you

Q: Find the cross product a x b. a = (9, 0, -4), b= (0, 9, 0) Verify that it is orthogonal to both a…

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Q: please help me with this exercise

A: Given,

Q: please help me with this exercise

A: The given vectors are

Q: Find a vector parallel to the line of intersection of the planes x+ 3y – 2= =13, and 3x – 4y + = =-8…

A: Solution is here

Q: Find the unite vector perpendicular to the plane 4x + 2y +4z = -7

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Q: Find the cross product a × b. (1, 1, -1), ь %3 (2, 8, 10) a = Verify that it is orthogonal to both a…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the cross product a × b. a = (2, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a…

A: We can find each of them by using the besic definition

Q: Calculate the cross product assuming that u x w = (-3, 6, 6) (4u - 4w) × w = |

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Q: Use the vectors a = [-1,0,1], b = [1,-1,5], and č= [0,-1,-2] to prove that a(bxč) # (åxb)xč

A: The answer is given below:

Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b…

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Q: 2. Find the cross products of the vectors in the diagram above.

A: The concepts to be used: (i) The components of vectors can be written in terms of cosine and sine.…

Q: Find the cross product axb. 1+9k, b- 41-j+ 3k Verify that it is orthogonal to both a and b (a xb) (a…

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Q: Calculate the cross product assuming that u x w = (-7, 1, -6) (2u + 4w) x w = = (

A: To calculate the cross product of 2u+4w×w, assuming that u×w=-7, 1, -6.

Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

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Q: Calculate the cross product assuming that u X w = (7, 6, 2) (-3u + 4w) × w =

A: We need to find cross product.

Q: 10) Find the cross product a x b and verify that it is orthogonal to both a and b. a =  j + 7k,…

A: Let's find.

Q: Find the distance between u and v and determine whether u and v are orthogonal, parallel, or neither…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Show that direction vectors of the lines x-3y+ 1 L: and 2 -2 are orthogonal.

A: Direction vector of a line x-x1a=y-y1b=z-z1c   is   <a,b,c>  So, Write the direction vector of…

Q: Find the cross product a × b. a-i-j-k, b-tj+* Verify that it is orthogonal to both a and b. (a x b)…

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Q: Find the cross product á xb and verify that it is orthogonal to both á and b for á = i+ 33 – 2k and…

A: Given:-a→=i→+3j→-2k→b→=-i→+5k→To find: cross product a→×b→

Q: A = x1+ y2+ z3 B = x 3+ y 2+ zl For the given vectors A,B, and C and , compute the triple cross…

A: Topic- vector cross product

Q: Find a vector perpendicular to the graph of z = - 3 x2 + 9 y2 – 7 x y at the point (8, 2, -268).

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Q: Calculate the cross product (v + w) × (5u + 4v) assuming that uxv = (1,1,0), uxw= (0, 3, 1), v×w=…

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Q: Given that a = (-10,9,13) and b = (14,–6,12), а. i) ii) compute the dot product. find a vector…

A: (i) Given  a→=-10i→+9j→+13k→b→=-14i→-6j→+12k→ Then,  a→.b→=-10i→+9j→+13k→.-14i→-6j→+12k→…

Q: Find the cross product ax b. a - (1, 1, -1), b= (6, 8, 10) Verify that it is orthogonal to both a…

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Q: Given vector A = (1, -2, xy), it can be said that vector A is uniform vector.

A: A=(1,-2,xy)

Q: Calculate the cross product assuming that u X w = (-2, -3, -2) (2u + 4w) × w = {

A: Given u × w = -2, -3, -2

Q: please help me with this exercise

A: To find the cross product, we form a determinant the first row of which is a unit vector, the second…

Q: Find the cross product a x b. a = (7, 6, -5), b = (2, -1, 1) Verify that it is orthogonal to both a…

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Q: Find the cross product a x b. a = (1, 1, -1), b= (2, 8, 10) Verify that it is orthogonal to both a…

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Q: Find the cross product a x b. a = i + 4j – 2k, b = -i + 4k Verify that it is orthogonal to both a…

A: The cross product of a and b is:

Q: If v1, ..., V5 are in R' and v3 = 0, then {v, V2, V3, V4, V5} is linearly dependent. %3D

A: Definition used: v1, v2, ..., vk is linearly dependent if there exist numbers α1, α2, ..., αk, not…

Q: Find a vector parallel to the line of intersection of the planes 4х + 2y - 33 %3D17 and 3x - 4y…

A: Vector parallel to the Inter section of two planes  a and b is cross product of a and b Let m is a…