In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List two vectors equal to HF. H K D b) List a vector opposite to AC. A B C

Q: In the diagram below, ABCD is a parallelogram, and E is the intersection point of the diagonals AC…

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Q: 1.2a-3b II. a.b Ill. ax b IV. proj, b (-5,2,-2), calculat

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Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Find values of a and b, for which the following vectors are parallel: (8, a + b, 6), v = (4, 3, 2a —…

A: Given:   u = ⟨ 8 , a+b , 6 ⟩     v = ⟨ 4 , 3 , 2a - b ⟩

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: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: 2. Explain what it means for vectors to be each of the following: a) equal b) opposite c) collinear

A: A) equal vector

Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: Which property of vectors is incorrect? a. â× b = -b ×â xã C. a. (b + c) = a + (b + c) b. (a + b) +…

A: I am attaching image so that you understand each and every step.

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: Answer f. Are any of these vectors perpendicular? If so, state which pair are perpendicular and…

A: Consider the first pair u and v. Find the scalar dot product. The dot product for u and v is not 0…

Q: Given the vectors s= (-5, 1) and t=(-9, 2), find 3s and s+t. %3D Write your answers in component…

A: Given : s=-5,1t=-9,2

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Given points A(4,5) and B(6,1), write the component form of the vector from A to B.

A: We have to find out the vector

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…

Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Rewrite each vector in component form a. OP = 5j + 3k b. OQ = Zi – 4j + 7Ř %3D

A: Given, Vectors OP = 5j+3k OQ = 2i-4j+7k We have to rewrite each vector in component form.