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: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point…

A: The Parametric equations of the line are the components of the vector equation , and have the form…

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: QI/A/ Let u=5i -j+k, v=j-5k, w=-15i+3j-3k. Which vectors, if any, are a) Perpendicular? b) Parallel?…

A: Solution:Given    let u=5i-j+k,   v=j-5k,   w=-15i+3j-3kTo find (a)…

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: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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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: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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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: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: Q2/ Answer the following: A) Express the vector P.P2 in the form of v=vi+vaj+vsk if Pi (1,2,0) and…

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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: O let A = i+2j-K, B=-i+j+K, Esi+k, 5z i+2j-K which vectors are: @ perpen dicular Parallel

A: Our are objectives to check which vectors are parallel and which vectors are perpendicular

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…