Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and b. (a x b) a = (a x b) b =

Q: Find the dot product of x = 5 and y = 0 x.ÿ= 2 ི ༠༠

A: Step 1:Given to find the dot product.For vectors of form ⎣⎢⎡​x1​x2​x3​​⎦⎥⎤​ and…

Q: Use the dot product to determine whether v = i + j and w = -i + j are orthogonal.

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Q: Find u v. u = i - 9j v = -4i + j u v =

A: We can solve this as follows:

Q: Find the cross product a × b. a = j + 9k,    b = 4i − j + 2k       Verify that it is orthogonal…

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Q: Find the cross product i x v where i = 2i +2j -3k and i = (- 8, – 6, 3). i x ở =

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Q: Evaluate ( 3+j4)( 3+j4) = A +jB, determine the real component A

A: Given,              (3+j4)(3+j4)=A+jB

Q: Let u = - 4i + 9j, v = 2i - j, and w = - 2i. Find 3u - (3v - w). !! 3u - (3v – w) = (Type your…

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Q: Evaluate into rectangular form 2 = 15 + j8 4+j 4. 4+j

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Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

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Q: Decompose v into its vertical and horizontal components.

A: Decompose vector v in vertical and horizontal components.

Q: Calculate the dot product, of u and v, where u = 58 î - 75 ĵ + 12 k and 34 Î – 73 ĵ - 97 k. = u.v=

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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: Use the dot product to determine whether v = 2i - 2j and w = -i + j are orthogonal.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

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Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: If u = -i + 4j - 7k and v = 5i - 2j - 9k calculate the product of u . v  u . v =

A: Use the dot product for finding the product of vector .

Q: Find the cross product a x b. a=i-j-k, b=¹i+j+½ k Verify that it is orthogonal to both a and b. (a x…

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Q: Find In z if z = (3+j4)³(8-j5)¹/³

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Q: find the length and direction of (u x v) and (v x u) u = 21 -2j - k, v =i - k

A: Determine the cross product.…

Q: Find the cross and v= product uxv² where û =8i +25 - 2k (-3,-1,8)

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Q: Calculate the cross product. (i - 9j + 6k) x (j – k)

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Q: Two forces of magnitudev50N and 20N act on an object at 30 and -45 degrees with the positive x axis.…

A: Image is attached with detailed solution.

Q: Use the dot product to determine whether v = 5i - 5j and w = i - j are orthogonal.

A: Orthogonal vectors: Two vectors are orthogonal if there dot product is zero.

Q: x.y = Find the dot product of x = 2 and y = 2 H

A: Consider the vectors

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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