1) Choose two vectors a and b with all components nonzero. Determine the (approximate) angle between them using the dot product. Are your vectors orthogonal? How can you quickly tell using the dot product?

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: 3. Find the dot product of the vectors d = (-5, 3) and 7 = (1,7).

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Q: Using the same vectors v = (1,3, 2) and w = (3,5,6) and the same poin P= (8,4,-2). Find the equation…

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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…

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Q: Three vectors A, B, and C are related as follows: AB = 22180°, A + C= -5 + 15i, and C is the…

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Q: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: 2. A vector # = (a,b,c) has a direction angle of 45° with the positive x-axis and a direction angle…

A: Here a vector r→=a,b,c has a direction angle of 45 with the positive x-axis and a direction of 130…

Q: 8) An airplane is on a heading of 065° at 350 km/h and an 75 km/h wind is blowing from 310⁰.…

A: 0

Q: Given 2 lines expressed in terms of vectors, how to determine the normal vector on the intersection…

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Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

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Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: 1. For the vectors u = (2,0,0) and v= (2,2,0), (a) (15 points) Find the dot product of u and v. (b)…

A: See this solution in below.

Q: ( if The vector is À = 21+ ai k - Find The value of (a). perpendicular to the vector B. where. BE4i…

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Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: Dot product of two nonzero vectors is equal to 0 if: Select one: they coincide. Othey are parallel…

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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: You know that vectors show not only magnitudes, but directions as well. Explain how vector functions…

A: we know that vectors show not only magnitudes, but direction as well. we have to explain how vector…

Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: a) Write an algebraic rule that would translate a figure 15 units right and 13 units down. (x, y) →…

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Q: Is the vector ?⃗ = ⟨−1, −2, 3⟩ perpendicular to the plane 3? + 6? − 9? + 5 = 0? Please give full…

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Q: A=\+2) -Kg B=-i+j+ K, Csitk, D= i+2j-K which vectors are: @ perpendicular parallel-

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: An airplane has a velocity of 300 mph southeast. A 40 mph wind is blowing North. Write in component…

A: Using trigonometric relation

Q: Use law of sines and cosines to solve for the magnitude and direction of the give problem. Kindly…

A: We have to find a..We have to use the Law of Sines to find the direction and magnitude of the…