How can you tell when vectors span a certain R^? Please explain in the most simplistic detail>

Q: Find the plane equation through point (3, -1, 7) and perpendicular to normal vector n = (4, 2, 5)

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Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: Find area of triangle whose vectors Р (3,3, 1), Р2-1,0,2), Р3(2,3,3)

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Q: What is a unit vector perpendicular to these two vectors, which are two vectors

A: We have to solve given problem:

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: Consider the given vectors. Cross product of two vectors is perpendicular to both the vectors. This…

Q: cannot be found in such a general cas explain why. In either case, justify you 2) Let a and b be two…

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Q: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

A: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

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Q: Let(vector u)=(-2,-3), (vector v=(-3,-5) and vector w=(-2,-3). Find the vector x that satisfies…

A: u=(-2,-3)v=(-3,-5)w=(-2,-3)Calculating x:

Q: Dilate the vector (-3,5) by a factor of 3. ([ ? ],[])

A: Given vector: V=-3, 5 ……1   Also, Scalar factor is 3.

Q: Describe 2-dimentional vector addition for any scenario? Put your best example over here.

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Q: What is the advantage and disadvantage of "scale diagram method" for vector?

A: Advantages and disadvantages of scale diagrams are listed below

Q: We know that there are two ways to multiply vectors: the vector and scalar product. How about vector…

A: Vector division is not possible .

Q: How two-dimensional vector is determined?

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

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: How do you find the vector component of one vector orthogonal to anothervector?

A: How do you find the vector component of one vector orthogonal to another vector?

Q: A vector with magnitude 3 points in a direction 265 degrees counterclockwise from the positive x…

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Q: Draw an example of two opposite vectors that are not parallel or explain why such vectors don't…

A: To find: Two vectors opposite in direction which are not parallel. or, Explain why above two vectors…

Q: What can you say about the relative position of two nonzero vectors if their dot product is zero?

A: Dot product of two non-zero vectors is zero. We know that two vectors are perpendicular if and only…

Q: Although I expected vector operations to produce another vector, the dot product of two vectors is…

A: The dot product of vectors is also known as scalar product of vectors. When we find dot product of…

Q: What is the magnitude of the cross product of two parallel vectors?

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Q: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

A: The initial point of the vector is (-4, 1) and the magnitude of the vector is 7. Since it is a…

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Find two unit vectors orthogonal to both (5, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: Cross product of two same vector is equal to one FO

A: Cross Product: The cross product of two vectors a and b is given by another vector c which is…

Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the…

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Q: Try to find 8 different representative vectors of the following vector field.

A: A vector field is defined when every point in the space is assigned a vector. These are used in the…

Q: set

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Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

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Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: Cross-product of vectors   ⟨2,−1,3⟩×2⟨4,2,1⟩=?

A:

Q: what will be four forms of dot product for two vectors A and B by defining their metric tensors?

A: Dot product of two vectors is given by the product of the magnitudes an cosine of the angle between…

Q: Show that the order of addition of two vectors does not affect their sum. Show this property by…

A: Consider two vectors A and B having the values. A=2i+3j+6kB=5i+9j+11k These two vectors have…

Q: If vectors u and v are represented by arrows, describe how the vector sum u + v is represented.

A: Given that: The vector u and v are representing by arrows, So,

Q: How could you describe vector subtraction geometrically?

A: We have write about  vector subtraction geometrically

Q: Illustrate and explain how to compute the vector product of two vectors.

A: Given query is to find explain vector product.

Q: Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors…

A: See the attachment

Q: What are i and j, and what do they represent? They are --Select--- v vectors, or vectors with…

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Q: Explain how to add vectors.

A: vector:  a quantity which has magnitude along with direction is a vector. vector addition:…

Q: Explain how to find the dot product of two vectors.

A: The dot product of two vectors is the product of the magnitude of the two vectors and the cos of the…