Pick two vectors in R then find a vector orthogonal to both those two using the cross product. Show each pair is orthogonal using the dot product. Can you find another vector also orthogonal to the original two?

Q: Find the vector in AB R2 given in the figure. 6 AB = help 4 (vectors) 1 2 3 -1 -6 -5 -4 -3 -2 -1 6.…

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Q: Find the following vector.   The vector in the direction of (24,10) with length 4

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Q: Express the vector in terms of the unit vectors i and j. 2(3, 3) + 3(4, 2)

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Q: C A

A: We use Triangle law

Q: Find the two unit vectors orthogonal to both a = (3, 1, 1) andb = (−1, 2, 1).

A: Given: a=3,1,1 and b=-1,2,1

Q: A. Find the values of a such that vectors and are orthogonal .

A: According to bartleby expert policy only one individual question is to be answered. Kindly repost…

Q: Determine ä xb and bxå. Confirm that the cross product is orthogonal to each vector. ā=[4, –3, 5],…

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Q: Find all vectors v such that xv =.

A: Given: 1,2,1×v=3,1,-5 We have to find all the vectors v such that the given equation is satisfied.

Q: snip1

A: orthogonal to u means the dot product of the vectors should be zeroso v.u=0xy.31=03x+y=0from here we…

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: If a vector is expressed in terms of i and j, explain how to find the scalar multiplication of the…

A: The vector quantity has both magnitudes as well as the direction. if we multiply a vector by a…

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: Find a vector and unit vector perpendicular to each of the vector A + B and A – B,

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Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

A: From the definition of the cross product, A×B=ijkabcdef=i(bf-ec)-j(af-cd)+k(ae-bd) If A = (-1)i +…

Q: Find the resultant of the vectors A and B. Ả = A = 8a, + 7ay + 2a, B = -Зах — 8ау — ба, Draw the…

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Q: Find the dot product of vectors and .

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Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: The dot product between two vectors v and u is given by                v·u=∥v∥∥u∥ cosθ where  0≤θ≤π…

Q: Find the vector of length v7 in the direction of AB + AC

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Q: Find the following vector. The vector in the direction of (24,10) with length 2

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Q: Find a unit vector that is orthogonal to both u and = (-8, -6, 4) v = (17, -18, -1)

A: In this question we will use basic of calculus i.e vector calculus. We will simply find the cross…

Q: Find the vector component of the vector U orthogonal to a: и %3D (4, —1,2) and a %3D (1,3, —2).…

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Q: Find a unit vector parallel to the vector a´. a'= (-2,3,–1)

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Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

Q: . Suppose ū = and i = ;). Construct a pair of orthogonal vectors from these two vectors.

A: See below the answer

Q: Find two vectors that are orthogonal to ⟨0, 1, 1⟩ and to each other.

A: Vector: Let the two vectors are v and w. We have to find the two vectors which are orthogonal to…

Q: Find the components of the vector shown above. Vector =

A: From the Figure note that, the tail of the vector has coordinates -3,-4 and head has coordinates…

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: C a

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Q: The orthogonal vectors are also independent.

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Q: Find a unit vector (a) in the direction of u and (b) in the direction opposite that of u. Verify…

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Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1).

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Q: Given that a = (-10,9,13) and b = (14,–6,12), а. i) ii) compute the dot product. find a vector…

A: (i) Given  a→=-10i→+9j→+13k→b→=-14i→-6j→+12k→ Then,  a→.b→=-10i→+9j→+13k→.-14i→-6j→+12k→…

Q: What is the resultant of vectors a and b? (

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Q: Find the length of the vector T

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Q: Find a vector orthogonal to the vectors and

A: This problem belongs to vector section and we solve this using dot product concept

Q: Determine whether the vector v = 8 is spanned by the vectors and 3 or not.

A: Given three vectors and we have to find if  v=789 is spanned by111 and 123

Q: . CALCULATE the CROSS product for each of the following pairs of vectors, AND VERIFY your answer by…

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Q: Find the vector in v that has magnitude 8 and is in the opposite direction of (-3, –5, 1). v = help…

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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: Find a vector a that has the same direction as (-10,7, 10) bưut has length 4.

A: In the given problem we have to find a vector a that has the same direction as -10, 7, 10 but has…

Q: Find the two unit vectors orthogonal to both a = (4, 1, 1) and b = (-1, 4, 1). %3D

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Q: Find a vector orthogonal to the vectors ā = and 5=.

A: Recall:  Vector orthogonal to the vectors a→ and b→ is a→×b→a→×b→ We have, a→=1,2,3, b→=1,0,1