Determine the values for a so that w and u are orthogonal   w= 2i + 3j - 2k u = (a^2)I + aj + k

Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: Calculate div(F) and curl(F). F = (y, 4z, x) (Give an exact answer. Use symbolic notation and…

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Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨8, 0, 4⟩ and ⟨-8, 2, 1⟩

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Q: A constant force F=9i−1j+8k moves an object along a straight line from point (7, 10, 10) to point…

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Q: The magnitude of the sum of the given vectors            The orthogonal vector to the given vectors…

A: Given, a⇀ = 1, 3, -2   and  b⇀ = -2, 5, 1   We have to solve for part 1 , 2  and 3.

Q: 3- Two vectors 4=2i +3) and B=-i+2/ lying in the xy-plane, the Ax B can be written ..... Ax B-2 3…

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Q: letu= 43,5> Let V: L5,2> compute: a) proju u 5.) write u -w, +w,, where Wq is parallel to v and We…

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Q: 53. Medians of a triangle Suppose that A, B, and C are the corner points of the thin triangular…

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Q: A constant force F = 2i + 5j + 3k moves an object along a straight line from point (-3, –4, 4) to…

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Q: Medians of a triangle Suppose that A, B, and C are the corner points of the thin triangular plate of…

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Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨1, 2, 3⟩ and ⟨-2, 4, -1⟩

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Q: Vectors. 3U-4v U=6,7 and v=6,-7

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Q: Orthogonal vectors Find a vector orthogonal to the given vectors. ⟨0, 1, 2⟩ and ⟨-2, 0, 3⟩

A: We have to find a vector which is orthogonal to the given vectors. 0,1,2 and -2,0,3

Q: Vector W is in standard position and makes an angle of 180° with the positive x-axis. Its magnitude…

A: The solution is :

Q: A plane Π2 intersects Π1: 4x − 2y + 7z − 3 = 0 at right angles. Two points lie on Π2: A (3, 2, 0)…

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Q: A constant force F = 8i – 6j + 5k moves an object along a straight line from point (4, -8, 1) to…

A: The given constant force is F=8i-6j+5k and the given straight point is (4,-8,1) to point (5,-3,-4).…

Q: Forces of magnitudes 5 and 3 units acting in the directions 6i + 2j + 3k and 31 - 2j+ 6k,…

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Q: Forces of magnitudes 5 and 3 units acting in the directions 6i + 2j + 3k and 31-2j + 6k,…

A: Introduction :We have  given two forces of magnitude 5,3 directions are 6i +2j+3k and 3i-2j+6kWe…

Q: The standard matrix for orthogonal projection onto a line through the origin making an angle of 0…

A: Given that the standard matrix for the orthogonal projection onto a line through the origin making…

Q: inner product (f, g).

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Q: Straight line connecting the tips of three vectors originating from a point. Show that the tips of…

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Q: Find the vector PQ × PR if Р%3 (7,7,0), 0- (1,7,—1), R = (3, 2, –4) (Give your answer using…

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Q: Define scalar product of two vectors . Show of two vectors . Show that scalar product of vectors…

A: Scalar product of two vectors: Let a→ and b→ be two non-zero vector inclined at an angle θ. then the…

Q: 20) Guien vectors ū =, find: a)-3Ù=< %3D

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Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: (a) Find the direction for which the directional derivative of the function f(x, y) = 9xy + 2y is a…

A: Formula for directional derivative Du→fP=∇f(P).u^=∇f(P)u^cosθ Du→fP to be maximum angle θmust be 0.…

Q: Triangle ABC is bounded by x- axis, y-axis and line y = 12 – x Used Vector analysis to find the area…

A: Hi! You have asked multiple questions. As per norms, we will be answering only one question. As…

Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: Find the work done by a force F= 4i – 6j + 9k that moves an object from the point (0, 8, 4) to the…

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Q: (1 point) A constant force F = 7i+ 3j + 3k moves an object along a straight line from point (7, 2,…

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Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle,…

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Q: Forces of magnitudes 5 and 3 units acting in the đirections 6i + 2j + 3k and 31-2j+ 6k, respectively…

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Q: 5) Vector i has initial point at (-2,5) and the terminal point at (1,–2). a) Express vector v in…

A: Vector problem

Q: ADDING VECTORS Make the red vector: (3, 0) and the blue vector: ( – 5, 5) Make the green vector the…

A: The answer is

Q: vector x = (-1.5  -2.5  -0.5) vector y = (-2  1  0) Evaluate the Scalar product of x and y

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Q: Try different linear combinations using different scalar values. In your methodology discuss the…

A: answer is in next step

Q: Vector u has POSITIVE x-component, POSITIVE y-component and ZERO z-component. Vector v has NEGATIVE…

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Q: Inner Product: u = [6 1 2], v = [3 -10 -2], what is the inner product of u and v? What is the…

A: We have to determine inner product of u and v

Q: rI2-3 Let A = For which vectors b does the L-34 6 7. equa tion Ax=b have a solution!

A: We have to find the vector b.

Q: Unit normal vector Find unit vectors normal to the vectors ⟨2, -6, 9⟩ and ⟨-1, 0, 6⟩.

A: To find unit vectors normal to the vectors ⟨2, -6, 9⟩ and ⟨-1, 0, 6⟩

Q: Transformation law of mix tensor of rank 2

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Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…

Q: v 1. At the point (-2, 2) in the direction of i, 2. At the point (1,0) in the direction of -j, 3. At…

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Q: Vector (3,-2,1) can be written as a linear combination of which of the following vectors? a. {(2, 0,…

A: OA = i + 2j  OB = 3i + 2j Find diagonal vectors and its magnitude. Question 1  solved.  Solving more…

Q: How are lines expressed as vectors? a. Express 2 points along the line as vectors from the origin,…

A: We have to find how are lines expressed as vectors.

Q: Parallel vectors of varying lengths Find vectors parallel to v of the given length. v=PQ⇀ with P(3,…

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Q: wo vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩. Choose the correct…

A: It is given that, Two vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩

Q: Find the approximate angle between the two vectors (-5,-2,–4, 1) and (2,–7, 3,–6). Find the angle…

A: Since you have asked for a multiple question, we will solve the first question for you. If you want…

Q: A constant force F=−9i+9j+1k moves an object along a straight line from point (-5, 1, -6) to point…

A: It is given that an object moves along a straight line from (­-5, 1, -6) to (-2, -2, 2).

Q: Determine the direction in which f has maximum rate of increase from P. f(x, y, z) = x² yz, P =…

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