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: Find the angles between the vectors: A= -2i+j-2k and B=2i-2j

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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: 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: 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: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: Choose the equation(s) which have the following resultant vecto K 1 " Select one or more: C. * a.…

A: Given query is to find the resultant vector.

Q: Topic : Vector

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Q: Find a unit vector n with the same direction as the vector v = 3i + 6j − 2k. Explain please.…

A: The answer provided below has been developed in a clear step by step manner.

Q: Determine the angle between the vectors: x 3i + -3j + -7k and y = 12i + 3j +11k

A: x = 3i -3j -7k  y = 12i +3j +11k

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.