Verify that 2j+k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find the acute angle between the planes II, and II,

Q: 3.2 Prove that in any metric space (S.) every closed ball Se[xo] is a closed set.

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Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: Find the cross products u xv and vxu for the the vectors u = 2i-j-2k and v= i +3j - 3k. U XV= i+ j+k…

A: (.) Given vectors are,      (.) Corss product of two vectors  and   is given by,           &…

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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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.