Question: For a vector v=(a,b) in \\(\\mathbb{R}^{2}\\) it magnitude is given by
Answer: \\(\\sqrt{a^{2}+b^{2}}\\)

Question: A unit vector has magnitude ______
Answer: 1

Question: Two vectors v and w are parallel if one is a ____ of\nthe other.
Answer: scalar multiple

Question: Consider the vectors \\(\\overarrow{PQ}\\) and \\(\\overarrow{RS}\\) in \\(\\mathbb{R}^{3}\\) where P = (2, 1, 5), Q = (3, 5, 7), R = (1, -3, -2) and S = (2, 1,0). Find \\(\\overarrow{RS}\\)
Answer: (1, 4, 2)

Question: The magnitude of the vector v = (5, 8, -2) in\\(\\mathbb{R}^{3}\\)\nis given by \\_\\_\\_
Answer: \\(\\sqrt{93}\\)

Question: Find the unit vector 2 i + j -k
Answer: \\(\\frac{1}{\\sqrt{3}}\\left(2i+j-k\\right)\\)\n

Question: Calculate the magnitude of the vector\\(\\overrightarrow{PQ}\\) in\\(\\mathbb{R}^{2}\\)with P = (-1, 2) and Q = (5, 5).
Answer: 3\\(\\sqrt{5}\\)

Question: A ____is a quantity specified by a magnitude and a direction
Answer: vector

Question: \\ ( \\lambda (A+B)=\\lambda A +\\lambda B\\ ) where A and B are vectors, this law is called___
Answer: distributive

Question: If A+B=B+A where A and B are vectors, this law is called___
Answer: commutative

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