Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b. Write vector u = (7, -5, 0) as a linear combination of r S, and t.

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: à = (5, − 1) and 6 = (-2, –5). Represent a + b using the head to tail method. Use the Vector tool to…

A: The given vectors  and .To find the vector  and sketch the graph of the vector.

Q: a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool…

A: See the details solution in below

Q: The school has a sport tour. The learners each have to pay R200 to go on the tour. The learners have…

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

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A:

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

A:

Q: Find the sum and difference of the following vectors:     a. + b. 0

A: Consider the part (a): a→=-4i^+6j^b→=5i^ a→+b→=-4i^+6j^+5i^=-4+5i^+6j^=i^+6j^…

Q: Find if the vector w = (-3,2,-6) can be expressed as a linear combination of the vectors v₁ =…

A:

Q: a. Write the vector (8,5, 30) as a linear combination of a₁ = (4, -4,1), d₂ =(4,-5, 5) and d3 = (0,…

A: (a) Let,   <8, 5, 30> = a<4, -4, 1> + b <4, -5, 5>+ c<0, -4, -4>     =>…

Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…