Calculate the cross product assuming that u × w = = (4, 8, -3) (-u – 4w) × w =

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: Find the component of u along v. u - (-2, 4), v- (1//7, 1/v2)

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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: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

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: 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: (3,8, 0) is u x v = %3D So the cross product of u = (1, 0, 1) and v =

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

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Q: The vector parallel to intersection line of the two planes 4x-y+z=2 and 2x+y-2z=3 is: O0 -3i+6j-3k…

A: Two planes are given: 4x-y+z=2 and 2x+y-2z=3

Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

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: Find the cross product a ✕ b. a = (7, 0, −2) , b = (0, 6, 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 the cross product ⃗a × b and then specifically verify that it is orthogonal to both ⃗a and b:…

A: Given data:     The first vector is: a=<a1, a2, a3>=<6, 0,-2> The second vector is:…

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

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Q: Show that the vectors u=, v= , and w= satisfy the following properties of the cross product. и хи30…

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

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

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Q: Calculate the cross product assuming that u x v = (4, 3, 0). v x (u + v)

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Q: For which positive value of x are the vectors (-14x, 2, 1), (2, 3.x², –10) orthogonal?

A: Given:- vectors <-14x, 2,1> , <2, 3x2, 10> To find:- positive value of x when both…

Q: Prove the property of the cross product u ∙ (v × w) = (u × v) ∙ w

A: Let the vectors , v, and w isu=u1,u2,u3, v=v1,v2,v3 and w=w1,w2,w3

Q: Calculate the cross product assuming that u × v =〈1, 1, 0〉, u × w = 〈0, 3, 1〉, v × w = 〈2, −1, 1〉 v…

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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: Compute the dot product u. V. 02 08 5,V= 0-8 3

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Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

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 the vector ñ = 2î – 3j is perpendicular (orthogonal) to the line 2x – 3y – 6 = 0.

A: to Show that the  given vector is perpendicular to the  given line

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: Calculate the cross product assuming that u x w иxw3D (2, 6, 1)

A: Given vector u x w <2, 6, 1>

Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

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: Calculate the cross product assuming that u x w = (-1, -8, -2) %3D (5u + 3w) x w = (

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 5y – 4x + z =-1 and –…

A: The line of intersection of two planes is orthogonal to their respective normals.

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: A good check on a cross product calculation is to verify that u and v are orthogonal to the computed…

A: Given: The vectors u and v are orthogonal to the vector u×v, To verify: The statements u·(u×v)=0 and…

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: 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: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: Find the cross product a x b. a = j + 6k, b = 31 - j + 2k Verify that it is orthogonal to both a and…

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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 products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: Calculate the dot product of u = (-5,–2,7,–3) and v (-3, 1,5, 8). u • V =

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Q: Show that (x, y) = 4x1y1-7x2Y2 for vectors x = (x1, x2) and y = (V1 Y2) in R2 defines an inner…

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Q: Prove that swapping the order of vectors in the cross product changes the sign of the output: ьха3 -…

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