1) Which of the following expressions represent vectors? (Zero or more options can be correct) r a) v E b) AB r d) AB" + 3jv| r e) -PQ" E ) 2u + AB 2) How many different vectors are drawn here? 3) The two vectors a dn b are perpendicular. If a has magnitude 8 and b has magnitude 3 what is |a-2b| ? 4) In which of the following cases is the length of a+b strictly smaller than the length of a-b? (zero or more options can be correct)

Q: Given the vectors r,=3i-2j, r2=i+3j, r3=3i-2j, r4=-i+2j, Indicate if these vectors are parallel,…

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Q: 7. Provide a justification for your response to the following questions. a. Suppose that we have…

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Q: F C Use the regular hexagon provided to write each of the expressions as a single vector. a) AE + DB…

A: Given a regular Hexagon ABCDEF. To obtain each of the expressions AE→+DB→ , BF→+AD→+DB→ , FD→-BC→ ,…

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: VECTORS a) MCQS: 1. Given that the vectors -3i + 12j and 2i + aj are parallel, the value of a is A.…

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Q: A 1. Determine u XV and u XV for each pair of vectors. a) b) || = 88 (d) 60° |μ| : =93 |=75 = 115…

A: As we know that u×v=uvsinθ  where θ is angle between the vector u and v   see below the answer and…

Q: Two vectors 2a − 3b and 3a − b are perpendicular. Find the angle, ?, (correct to the nearest degree)…

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Q: #8) Let the angle 8 be the angle that the vectors below make with the +x-axis. Find the angle 0 for…

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: 9. ABCDEF is a regular hexagon with centre O. Let AB = x and BC = y. Represent the following vectors…

A: ABCDEF is a regular hexagon. To represent vectors AC and BE in combination…

Q: 1. For the vectors u = 4i – j+4k and v= -i- 2j+3k, calculate the following: а) иху b) Vxu c) ux v

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Q: 6. Vectors i and v are positioned at 115° to each other such that lü| = 15 and l0| = 7. Determine…

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Q: 49. Copy the diagram below as part of your solution to this question. a) Draw the resultant vector…

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Q: A parallelogram is formed by the vectors = [3,0,-1] and A) 2-√√35 B) 12 sq.un. C) 5/10 sq.un. D)…

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Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: 3. For this problem, answer the following question about the vectors u and v, shown below in the…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.