6. Find the vector that has magnitude 8 and the same direction as vector <3,6> . (Hint: First find the unit vector for <3,6>.)

Q: Find the unit vector in the direction of &lt;4,2&gt;

A:

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 the angle in degrees between vector a = and vector b =

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Q: what is the magnitude of the vector

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Q: Find the vector in v that has magnitude 3 and is in the same direction as (7, 5). v = help (vectors)

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Q: Describe the relationship between the point (10,13) and the vector

A: We have to describe the relationship between the point (10, 13)  and  vector  &lt;10, 13&gt;

Q: For the vectors u = (-1,0,5) and v= (1,2,-2), calculate proj_vu and scal_vu

A: The problem is asking us to calculate the projection of vector u onto vector v (proj_vu) and the…

Q: Express the vector below as a sum of two vectors ₁ and ₂, where ₁ is parallel to the vector given…

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Q: A vector starts at point ( -5, -3) and ends at point (9, 9) what is the magnitude of the vector,…

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Q: How do I find the magnitude of  this vector?

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Q: Which of the following vectors is opposite of the given vector below?

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: Q2/ (a) Let A (2,3,0) and B (-1,- 2,- 4) be two points. Find the vector AB in terms of the standard…

A: The detailed solution is as follows below:

Q: Express the following vector as the product of its magnitude and a unit vector: v=(3/5)i^ + (4/5)k^

A:

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: Find a vector with initial point (-5, 0, -2) and terminal point (-4, -5,7). Then find a unit vector…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.