Describe a unit vector in R^3 with the same direction as <1,0,7>

Q: A vector with magnitude 3 points in a direction 205 degrees counterclockwise from the positive x…

A: To find the vector in the component form

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

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Q: express the vector (4,5,5) as a linear combinations of vector (1,2,3) (-1,1,4) and (3,3,2)

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Q: Explain Scalar times vector.

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Q: define: unit vector

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

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Q: A vector with magnitude 6 points in a direction 190 degrees counterclockwise from the positive x…

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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:

Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

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Q: State two important features for a set of orthonormal vectors

A: A set of vectors forms an orthonormal set if all vectors in the set are mutually orthogonal and each…

Q: Describe the​ statement, "A vector orthogonal to u and v​," using dot product and cross product…

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Q: Find the components of the vector whose initial point is (2, 2, 4) and terminal point at (0, 2, 0).

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Q: Define Dot Product of vectors.

A: The dot product (scalar product) of two vectors is the magnitude of the vectors and the cosine of…

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: (1 point) Find a vector orthogonal to both (-2, 2, 0) and to (0, 2, 3) of the form

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Q: What are the unit vectors in their component form?

A: Write the definition of the unit vectors that help to find their component forms. A vector is said…

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: How two-dimensional vector is determined?

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Q: A vector with magnitude 6 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=6and direction=θ=340°now Vector V=&lt;x,y&gt;=?…

Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

Q: A vector with magnitude 3 points in a direction 175 degrees counterclockwise from the positive x…

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Q: (1 point) Find a vector orthogonal to both (-1,5,0) and to (0,5, 5) of the form (1,

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Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

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Q: Which vector in two-dimensional space has no corresponding unit vector?

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Q: Find a vector orthogonal to both (-3, 2,0) and to (0, 2, 1) of the form (1,

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Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, -2), (2,3, 4) is

A: A vector orthogonal to the plane through the points (-1,0,0) , (0,-2,-2) , (2,3,4) is

Q: Find a vector in the same direction as (3, –2) with length 10.

A: The vector that has the same direction as 3,-2 has the coordinates proportional to the given vector.…

Q: Define the term vector.

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Q: A hiker walks 4 km north and then 5 km northeast. Draw displacement vectors representing the hiker's…

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

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Q: Find a Vector ū: non zero Vector perpendicular to the

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Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: express vector in spherical components.

A: According to the given information, it is required to express the following in spherical components.…

Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

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Q: set

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Q: The vector (0,0,0) and the vector (0,0,0,0,0) a equal. are True False

A: False

Q: a particle moves in a plane so that it's velocity and position vectors are always orthogonal.show…

A: As given in Question are:                  A particle moves in a plane.                  Its…

Q: A vector with magnitude 10 points in a direction 310 degrees counterclockwise from the positive x…

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Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 0, -2), (2, 3, 4) is

A: We will solve the problem

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: What position vector is equal to the vector from (- 2,9,3) to (-5, - 6,8)? The position vector is…

A: We have to find

Q: Suppose v is a nonzero position vector in xyz-space. How many position vectors with length 2 in…

A: Given that, v is a nonzero position vector in xyz-space.

Q: to Dara bala y=XZ. Find the unit vectors that are parallel to the tangent line Dara bola y = x² at…

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Q: Find the unit vectoru in the di rection of the vectorv=3(2, 2, 1).

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