This question relates to three vectors defined as p = j- 3k, q =-2i-j-3k and r = 4i + j+ 3k, where i, jand k are Cartesian unit vectors. In this question you should express all vectors in the form ai + azj + aşk, where a1, az and a3 are specific numbers. 1) Write down the sum of the vectors, s = p + q + r.

Q: If         →                    AB = (−5, 4) then 4 is the _____ of the vector.

A: We know in a vector of the form (a, b); a is the x-component and b is the y-component of the vector.

Q: Let P(-2,–2,0), P,(1,0,–2), and P,(0, –4,–3) are three points of a triangle, Compute the vectors of…

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Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Verify that the points are the vertices of a parallelogram, and then find its area. (1, 1, 1), (2,…

A: A parallelogram is a quadrilateral whose opposite sides are parallel and equal. If the vectors…

Q: نقطتان )2( The cross product of the vectors 3ax + 4ay - 5az and -ax + ay - * ,2az is -Зах -11ау -7az…

A: Dot product

Q: Find the area of the parallelogram determined by the vectors: u = (1,0,–3),v = (2,3,0)

A: By using formula  Area of parallelogram

Q: Suppose u = (2, 3) and ī = (3, 11) are two vectors that form the sides of a parallelogram. Then the…

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Q: Find two vectors v¯¯¯1v¯1 and v¯¯¯2v¯2 whose sum is ⟨2,−4⟩⟨2,−4⟩, where v¯¯¯1v¯1 is parallel to…

A: Given, v1+v2=2, -4v1 is parallel to 2, -4v2 is perpendicular to 2, -4. if two vectors a and b are…

Q: Choose a vector (b1, b2, b3) for which Ax = b can be solved, and another vector b that allows no…

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Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

Q: This question relates to three vectors defined as p = j- 3k, q = -2i -j- 3k and r = 4i + j+ 3k,…

A: To find  The vector product of the given vectors.

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

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

Q: 4. If d and bare unit vectors and |a + 61= v3, determine (2d – 38)- (+2). %3D

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Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

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Q: Hello, any help for this problem would be greatly appreciated. Thank you! 7.3

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Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

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: Determine which of the vectors is parallel to z and which is orthogonal to z if z = (3, 2) Show work…

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Q: Suppose e vectors. that a and b ave nonzero Under what ciraumstarces is comp= compas Under ahat…

A: According to the problem, we have

Q: 1. Use the right hand rule to determine which of the following vectors ( î, -î, ĵ, -ĵ, k, –k ) would…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: The area of a parallelopiped that is formed by two vectors A and B can be obtained mathematically…

A: It's area of parallelopiped is given by A×B.

Q: What is the length of the vector (1, 4, 5, -3) in R^4?

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Q: 9. Find all the vectors with the length 6 units, which a = 2į +3j- 2k andh = i - 2j + 3k .…

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Q: Find the magnitude of the projection of (– 5, – 7) onto the vector (– 8, - 4)

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Q: 2. Determine the value of a for which the vectors b = ai – 5j+3k and 7 =i +2}-ak are orthogonal ?

A: Orthogonal Vectors: two vectors are orthogonal if they are perpendicular to each other. i.e. the dot…

Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: Suppose the twelve vectors start from 6:00 at the bottom instead of (0, 0) at the center. The vector…

A: You need ti understand the following two points before you can get to the answer: The new…

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: 3. Prove by using vectors that the points P(-2,1,6), Q(2,4, 5), and R(-1,–2,1) are he vertices of a…

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Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8)

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Q: The cross product of two vectors 3i + 4j -5k and -i+j- 2k is * 3i -11j +7k O 31 +11j +7k O 31 -11j…

A: Use Cross product of vector

Q: A set of 3 vectors in IR^4 spans IR^4. Is this true or false?

A: Given statement is, “A set of three vectors in R4 spans R4.”

Q: 4 3 2 1 b. -1 -2 -3 -4 -5 -4 -3 -2 -10 1 2 3 4 5

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Q: What is the value of each of the constants that are part of the linear combination between the…

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Q: 4. Write the vector (1, 2, –2) as the sum of two vectors: one that is parallel to the vector (1, 1,…

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Q: Express the vector (2, –5, 3) in R³ as a lincar combination of the vectors (1.-3, 2), (2, –4, -1)…

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Q: Find two vectors and 02 whose sum is (2, –4), where is parallel to (2, -4) while vz is perpendicular…

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Q: Given the vector u , can you find 1. A vector in the same direction as u but with length 1? Enter…

A: Given a vector 'u'. We need to find vectors in the same direction of 'u' but with length 1 and 6.…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = (2, −1, 0), v = (−1,…

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Q: Suppose u = (-2,–3) and v = (2, –10) are two vectors that form the sides of a parallelogram. Then…

A: The diagonals of the parallelogram are u+v and u-v then we find the lengths of diagonal.

Q: Assume that Vq = (Q,-3,-3) and You have been given below. Which V2 = (3, 1,-2). the following…

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Q: Suppose that ú, v and w are any three vectors in some R". Show that the set of three vectors: S =…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: Find two vectors a and b such that projba = <4, -2, 8>. That's all the information I was…

A: It is given that,

Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)

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Q: the vector from P1(1, 3) to P2(4, –2) is

A: Given :

Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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