4. ; Consider the vectors u = (4, 1, 2) and v = (2,-1, 5). You may also assume as given the following two pieces of information: |u| = v21 and v = V30. a. Using our component method, find u ·ů, the dot product of the two vectors. Show sufficient work for me to see what you are doing. Do not use vector operations or programs on your calculator or in Geogebra. b. Find cos(0), where 0 is the angle between the two vectors i and v.You do not need to find the angle itself.

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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Q: 2. Given a vector v with initial point P₁ = (2,-5) and terminal point P₂ = (-4, 3), write the vector…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

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A: We have to find the dot product and angle between two vectors.

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