Given vectors A = 2a, + 4a, + 10a, and B = –5a, + as - 3a,, find (a) A + B at P(0, 2, -5) (b) The angle between A and B at P (c) The scalar component of A along B at P aX - ay + 7az ; 98.789°, -8.789 aX - ay + 7az ; 143.26°, -8.789 aX - ay + 7az; 193.26°, -10.789 aX - ay + 7az; 143.26°, 30

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A:

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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.