Which of the following may be done to a nonzero vector without changing its magnitude and direction?

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: What is a position vector? How is a position vector represented using i and j?

A: The position vector is a vector whose initial point is origin and and the terminal point is any…

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

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Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: A vector with magnitude 9 points in a direction 160 degrees counterclockwise from the positive x…

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Q: Find a unit vector orthogonal to both u and v. u = -5i – 3j - 2k | V =

A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: How do you find a vector's magnitude and direction?

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Q: What is the difference between a vector and a scalar?

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Q: Why is HE vector twice of vector V?

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Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

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Q: Calculate the magnitude of vector u =  <3, 4> .

A: The objective of this question is to calculate the magnitude of a vector. The magnitude of a vector…

Q: Find the magnitude of the vector AB with initial point A(-1, 3) and terminal point B(2, -1). Give…

A: Step 1: Step 2: Step 3: Step 4:

Q: discuss the directional vectors (gradient and curl) with physical examples.

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Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the magnitude of the vector AB with initial point A(4,-2) and terminal point B(1, -5). Give…

A: To find the magnitude of the vector AB with initial point A(4, -2) and terminal point B(1, -5), you…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Is (1, 1) a unit vector? Explain.

A: We know that if any vector a→=a1i+a2j+a3k will be a unit vector then its magnitude a→=a12+a22+a32…

Q: Explain how to find the unit vector in the direction of any given vector v.

A: To find the unit vector in the direction of the given vector v, divide the vector v by its…

Q: Define the vector?

A: we have to define the vector.

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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