Q2:a\ Let A = 3i - 2j+ k, B = i-3j+5k, C = 2i+j-4k vectors: 1) Show that the vectors A, B and C form a right triangle (with 90°). 2) Find the era of the triangle ABC 3) Find the vector projection of A onto B. (Projs A).

Q: Choose the option that describes the angle between the vectors u=2i+3j-5k and v= - 4j+k O acute O…

A: Question is solved.

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

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Q: d = 2j+ 5 k, b = 4i+3j+7k, č = 31+4j, ý = -8i+3j Perform the following operations on these vectors:…

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Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5…

A: A) It is given that vector A  has a magnitude of 2.5 ms at a direction of 18° and vector B has a…

Q: Find the area of the parallelogram defined by the vectors Area = 1 -2 2

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Q: Let a = [3, -7] and b = [-5, 11].

A: given that the two vectors a=[3,-7] b=[-5,11] To plot and check which one is greater.

Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

A: The given vectors  and .The objective is to write the vector  as a linear combination of  and .

Q: nd he position vector in the form of xr+ yr for the vector that starts at the point (-1, 2), ends at…

A: Given query is to find the vector ,it's magnitude and direction.

Q: 5) Prove: u-v=v-u for vectors u, v in V. Show all steps clearly, do not skip steps! Use vector…

A: Here, we just need to use the commutativity of the underlying field, here I have assumed the field…