If A = 3i + 4j and B = 7i + 24j, the %3D vector having the same magnitude as B and parallel to A is * 15i + 20j 15i + 10j 5i + 20j O 20i + 15j The vector that must be added to the vector i -3j + 2k and 3i + 6j - 7k so that the resultant vector is a unit vector along the y-axis is * O null vector 3 i+ 4j + 5k 4i + 2j + 5k O -4i - 2j + 5k

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

A: I am attaching image so that you understand each and every step.

Q: Find two vectors of norm 1 that are orthogonal to the vectors u = (2,−3,4) and v = (3,1,−5)

A: The cross product of two vectors is perpenducular to both of the vectors. The cross product of the…

Q: Find a unit vector that is orthogonal to both u = (2, – 10, 8) and v = (4, 6, – 8).

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Q: If vector u=2i+3j+4k is orthogonal to vector v=3i+2j-bk, then value of b is 4 1 2 3

A: Two vectors x , y  are orthogonal or perpendicular if x·y=0

Q: Find the vector with length 3 making an angle of 7π/4 with the positive x-axis.

A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: Find linearly independent vectors which generate al lutions of Ax = 0.

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Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

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

Q: 26. Find the vector that has the same direction as (6, 2, -3) but has length 4.

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Q: What is the unit vector perpendicular aial yA n = i-j+ 3k, n2 = 2i + j + 3k to the vectors?

A: Given that:n1=i-j+3k,  n2=2i+j+3k

Q: The normal vector to the vectors u = (2, 1, 1) and v = (1, -1, 3) is:    4i - 5j + 3k  4i - 5j -…

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Q: find the component form of vector RS with the initial point R(3,-2) and terminal point S(3,3)

A: From the given problem:   Initial point R3,-2   Terminal point S3,3   So the component form of RS→:…

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A: Given that , the length of the cross product between vectors k and -k is equal to the zero is it…

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: The length of the cross product between the vectors j and -j is equal to the zero vector. Select…

A: Solutions

Q: Find the terminal point of a vector of magnitude 5 that is parallel to the vector 1, 2, 3 and whose…

A: We will first find direction of vector using the magnitude and values of initial point and parallel…

Q: Find a vector of length 5 in the direction opposite that of (3, –2, V3).

A: Let the given vector be              a=3i-2j+3k The vector in the direction opposite to a  is  -a.…

Q: When decomposing the vector into the sum of two vectors the first is parallel to the other vector…

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Q: 2. If a --i+3j-k and E-2itj-3K decompose vectoes E into the sum of two vectors, one is paralled and…

A: This question can be solved using the concept of condition of two vectors to be parallel and…

Q: 1. The vector in the opposite direction to u = = (-1,0) and of half its length is

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Q: Find the magnitude of the projection of (8, – 2) onto the vector (4, 7)

A: Wr have to find the magnitude of the projection.

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Q: the component of vector a are ax=2.0 units and ay=3.0units while that of another vector b are Bx=…

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Q: The terminal point of the vector v = 3i +5j – 4k with initial point (2, –1, 4) is

A: Follow next step

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Q: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

A: As we are solving only one problem at a time please submit the other question one by one as you…

Q: Select any 4 vectors in Calculate R" of your choice. V,'s, applying Eq A on these vectors.

A: There is a misprint in the question given. In the equation (A) given in the question, the summation…

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Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

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Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

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Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their…

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Q: Find two vectors of norm 1 that are orthogonal to the vectors u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2)…

A: Let X=x,y,z,t be the vector that is orthogonal to u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2) and w= (3,…

Q: Find two unit vectors orthogonal to a=⟨5,2,4⟩ and b=⟨5,0,4⟩ Answer so that the first vector has a…

A: We need to find a vector c→ , such thatc→ ⊥ a→ and c→ ⊥ b→ie,c→.a→ = 0  and c→.b→ = 0given,a→ = 5 i…

Q: Find a vector which is orthogonal to the vectors ū = (2, –2, 1) and ū = (4, 3, – 1).

A: Explanation of the answer is as follows

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A: As per the question we have to find the covariant and contravariant components of the base vectors…

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A: We need to find two distinct vectors on the line belonging to the intersection of the hyperplanes

Q: Find a unit vector that is orthogonal to both >= 2i - 10j + 8k & v> = 4i + 6j – 8k Upload Choose a…

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

Q: 2. Find a vector that has the same direction as (-3, 5, v2), but has length 8. 3. If ā = 21 – 43+ 4k…

A: We'll answer one question since the exact one wasn't specified. Please submit a new question…

Q: 9. Find both vectors of length 5 that are perpendicular to plane 2x + 2y +z - 4 = 0.

A: Explained below

Q: In Cartesian coordinates, a rank-2 tensor is given by Į = Tr£xx + Tvz£xz+ Tyy£yy and a Cartesian…

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