Q2. a) A vector is defined as: A = 1i +2j + 3k Sketch this vector in the X, Y, Z co-ordinate system showing the I, j, k components resolved on the axes b) Another vector is defined as: B = 2i +4j - k Calculate the angle between these two vectors, A (in part a) and B (in part b)

Q: Determine and construct the vector c= a x b, where (1) a = 3 i and b = 2 k. (2) a = i +j and b = i…

A: To determine c=a×b 1 a=3i^, b=2k^2 a=i^+j^,  b=i^-j^3 a=2i^+3j^,  b=3j^+2k^

Q: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

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Q: 18) a) Find a unit vector that is orthogonal to both u = and v = . b) find the area of the…

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Q: 3) The lines I and m have vector equations r = (3i + 6j + k) + s(2i + 3j - k) and a) Determine…

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Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

Q: Suppose that 4x7 matrix A has 4 lead terms. Then collA ) = IRt aind NIA) = R³

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Q: Question 17 of v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and…

A: Given query is to find the Indicated vector.

Q: li) Find the angle between the vectors p i--k and q 21 +j+2k. Iv) Find the unit vector perpendicular…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1) Column vectors vy and vz are given as n-) - --() 4 1 v1 =-1 and v2 = a) Find whether or not…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: 7.Simplify the given expression using the distributive property…

Q: 27-j+4k sī +2j-2k.

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Q: If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv. a) prove that the…

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Q: Consider the two vectors = (2,0, 1) and = 1 + 3) + 2k. a) b) -C) What is What is - üxü= î+ Ĵ+ k.

A: Given that the vectors u→=2,0,1 v→=1i+3j+2k=1,3,2  .

Q: Given the vectors u=-i+3j, v=6i-6j, w=-5i+3j, carry out the designated equation. V*(u+v)

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Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

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: 1) Complete the following short calculations. a) Let u=6i−3j and v=−7i+8j. Find the vector u+v.  u…

A: see 2nd step

Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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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: ) Given two vectors: A = 21-3ĵ+ A = 21-3j+7k 7k 2) B Find 1) B B = 2i+j-2k 3) AxR

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Q: 13) given the vector P = apply 20⁰ at the point T (2,4). Label the vector 21², and the endpoint w…

A: We have given the following information:The vector .Apply the vector  at the point

Q: 3) Let a = 3i, b = i + j. Find 5a + b. A) 11i + j B) i+ 16j 4) Let a =(3, 8), b = (-5,9). Find a +…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: 1) (10 points) Let a = -1i+2 + 2k and b = 2i − j + k. a) (3 points) Find a b b) (3 points) Find the…

A: a. The dot product of vectors a and b is -2.b. The angle between vectors a and b is approximately…

Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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