Compute the orthogonal projection of u onto v. Use the square root symbol 'V' where needed to give an exact w your answer. -8 1 d =-10 7 = -2 -3

Q: The vectors u-(2,-1,1) and v= (1,1,2) in R3, the angle e between u and v is

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Q: B) Given the vectors u = 7i+ 2j -k, v = 2i-3j-6k. Find the projection of %3D u onto v.

A: Using projection vector formula.

Q: Use the given vectors u = 5i-4j to find u. W W = -2i - j

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Q: 02. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

A: Please refer the attached image for complete solution.

Q: Compute the orthogonal projection of 7 = proj,(v) = 4 [1] onto the line L through -4 and the origin.

A: Given:    Data is given

Q: Compute the orthogonal projection of u onto 7. Use the square root symbol 'V' where needed to give…

A: Orthogonal projection

Q: Q6) if A=2i-3j+4k, B=-i+2j+5k and C= 3i+6j-k, Find the indicated scalar or vector : 1) 2) A-(Ã+B +…

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Q: Convert the vector Ả = = pzsino a,+ 3pcos¢ a p + pcosø sinø az to RCS. Simplify your answer and show…

A: A vector in cylindrical coordinates can be written as A→=Aρaρ⏞+Aφaϕ⏞+Azaz⏞ A vector in cartesian…

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A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: Find the length and direction (when defined) of u×v and v ×u. u = 7i- 2j - 8k, v=8i – 8k

A: length

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

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Q: Find a vector equation for the line segment that joins P(1,3,4) to Q(-2,4,6)

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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: Find a vector equation for the line segment from (2, -4, 6) to (5, 5, 5). (Use the parameter t.)…

A: a→=2i-4j+6kb→=5i+5j+5kn→=b→-a→=3i+9j-k

Q: А (, 8) В (4, -12) С (-9, -1) D (-8, -8) Е (1,-3) F (3, 5 Ann 7. Identify the unit vector of EF. UUL…

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Q: if vector AB=i+7j-4k and B is the point (9,3,5) find A

A: Let A=ai^+bj^+ck^B=di^+ej^+fk^ be twovectors.Then AB→=d-ai^+e-bj^+l-ck^

Q: 02. Approve that the area of the parallelogram spanned by the vectors a- (2, -2, 1) and c= (-8, 8,…

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Q: What angle does the line of intersection of the planes (x 2y + 3z 5 and 4x+y-2z-7 make with the…

A: The dot product of two vectors u→, v→ is calculated using the formula: u→·v→=u→v→cosθ, where θ is…

Q: Give vectors a, b, c, d such that a=5c + 3d and b= 2c - d express 2a - 3b in terms of c and d

A: Solution as given below:

Q: Compute the orthogonal projection of u onto v. Use the square root symbol 'v' where needed to give…

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Q: -2i -sj+si and -i+zi are orthogonal, then

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Q: Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is…

A: Given that Position vector of u→=3,4 So, graphically it is as below:

Q: Which of the following is the correct value of the dot product for the vectors: u→=(6,−2,5) and…

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Q: Find a vector equation for the line segment from (2, -4, 5) to (6, 4, 4). (Use the parameter t.)…

A: Explanation of the solution is given below...

Q: ABC is a triangle and P, Q are the midpoints of AB, AC respectively. If AB = 2x and AC = 2y, express…

A: Given P,Q are the mid-points of 2 sides AB,AC of the triangle ABC. Also, AB=2x, AC=2y.

Q: Consider the following. 9i + 7k, 2i + 5k (a) Find the projection of u onto v. (b) Find the vector…

A: Given that      u = 9i + 7k    ,  v = 2i + 5k  Here we have to find the projection of u onto v .

Q: Find all values of b for which the vectors (2, -4, 5) and (b2, b, 0) are orthogonal. (Enter your…

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Q: find the length and direction (when defined) ofu * v and v * u. u = -8i - 2j - 4k, v = 2i + 2j + k

A: Given vectors - u = -8i-2j-4kv = 2i+2j+kPart (1) - u×v = -8i-2j-4k×2i+2j+ku×v =…

Q: Compute the orthogonal projection of u onto v. Use the square root symbol 'V' where needed to give…

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Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )…

A: Given problem:-

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Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

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Q: The vectors v = (3, 4) is projected onto the x-axis The length of the projection is %3D A/

A: We have to find

Q: Compute the orthogonal projection of u' onto v. Use the square root symbol 'V where needed to give…

A: We need to find orthogonal projection of u onto v.

Q: Find the vector projection, Proj;A and ProjĄB When A = i+ 2j + k and B = k. 1.6

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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Q: Q2. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol 'V where needed to give an…

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Q: Find the component of u along v. 3(5,2), v = (3, -4)

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Q: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol ' where needed to give an…

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Q: A n = i-j+3k, n2 = 2i +j+ 3k to the two vectors.

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Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with…

A: According to Polygon Law of forces, if a number of coplanar forces acing at a point is represented…

Q: Determine "k" so that the vectors 3a- 4b and 5a+ 2k b are collinear. Justify your response.

A: Topic = Vector

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: find the length and direction (when defined) ofu * v and v * u. u = 2i - 2j + 4k, v = -i + j - 2k

A: Given: The vectors, u=2i-2j+4k and v=-i+j-2k.

Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.