QUESTION 3. a) Three vectors are defined by position vectors defined as ā = 2i +j- 3k, b = -3i + 2j – 4k and č = xi + yj- zk , where x, y, z represent the last three digits of your index number. Calculate the:- i) ii)

Q: a= b=

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Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: Suppose V₁ = vector 1= Write five different vectors in Span{V₁, V2}. For each vector, show the…

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Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: 1 V₁ = scht. Texas State University, rights reserved. --- V₂ = Late University, 2023 All rights…

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Q: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

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Q: 5. Add vectors 2i– 2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

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Q: Which construction is being created in the image below? m. O A line parallel to a given line. O A…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: a) Write an algebraic rule that would translate a figure 15 units right and 13 units down. (x, y) →…

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Q: Consider the vectors: u=(-2,6), v=(-3, –4), w =i+9j, and x=8i-6j.

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

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Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

Q: 1. For the following vector à and B, find à + B and B – Ả. Calculate |Ả + B| and |B - Ả . Å = 3ï+ 27…

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Q: Graph the vector 3 – 2i and state its argument (or direction vector) in de

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Vectors a, b, and c are given. Determine the vectors (a b)c and (a c)b. Express the vectors in…

A: Given a = i + j b = i - k c = i - 7k

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.