Vectors: Find the vector from the point (4, 1, 2) to the point (10, 4, –4). Enter the coordinates: )

Q: a= b=

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Q: Find a + b, 6a + 9b, lal, and la - bl. (Simplify your vectors completely.) a = (-6, 8), b = (6, -1)…

A: a=-6,8 ,b=6,-1

Q: Draw arrows representing: (8, 12), (-6,4), (2, -12), (4, 10) 12 10 10 12 8- 10- 12- 14

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Find the vector v = PQ. P = (4,3, 6) Q = (9,5, 3) V =

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Q: Find the vector v = PQ. P = (9,4,7) Q=(10, 7, 3)

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Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Given, vector a = (3, 4, -2), vector b = (2, -7, 1), and vector c = (-6, 5, 4). Evaluate |-2b x c|

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Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Draw à = 3î + 2ĵ+ 5k. Must Include the Rectangular Prism used to draw 3D vectors.

A: a⇀ = 3i^ + 2 j^ + 5k^ The given vector indicates a 3D vector :  3 units in the direction of x-axis…

Q: Write "Yes'' if the ff. vectors are unit vector and "No" if it's not. a.) (4/5,3/5) b.) (1,4) c.)…

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Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

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Q: - Given the points A: (0,6,2) and B: (-5,-4,6), find the vector u AB

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Q: Either a triangle whose vertices are A(-2, -1, 3), B(7, 8, -4) and C(5, 0, 2). Using an operation on…

A: Given: Vertices of a triangle: A-2, -1, 3, B7, 8, -4,C5, 0, 2We need to determine whether the…

Q: Let ā = (1, – 5, 2) and b = ( – 1, 5, 3). %3D Find the angle between the vectors (in degrees).

A: We know that for two vectors a→ and b→,   cos(θ)=a⇀.b⇀|a||b|⇀⇀ where θ is the angle between vectors.…

Q: Plot the points in same three-dimensional coordinate system and determine whether u and v are…

A: The graph is shown below:

Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

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Q: Consider the vectors Vị = 2 , V2 = V3 3 E R³. , V4 = Find the first vector in this list which is not…

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Q: A given field mouse population satisfies the differential equation dp dt = 0.2p - 380. where p is…

A: The given differential equation is       = 0.2p - 380  =>  = dt Integrating both sides, we get…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

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.