3. For v = (1,2,3) and w = (1, -4,2), find v+w, 3w, vw, and the angle between v and w in radians and degrees. Is v orthogonal to w?

Q: (H.W) Show that the area of parallelogram is Ā x B| ?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. A|-2,5 А = 2, B = 3 and the angle formed by A and B is 120°. Determine the unit vector in the…

A: Solving

Q: If v = (2, −3, −5), then the direction angle y is?

A: V=(2,-3,-5)

Q: Find projɖu if u 2 and d = 5 3 4

A: Step 1: Solve for the projection The formula of the projection of vector u unto d…

Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v…

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Q: Again referring to the vectors a = (5,3,7) and b = (2,-3,4), a. What is the angle between them? b.…

A:

Q: Let A = –2a, + 5a, + a, B = a, + 3a, and C = 4a, –6a, + 10a.. (a) Determine A – B + C (b) Find A ·…

A: Given vectors: A=-2ax+5ay+az B=ax+3az C=4ax-6ay+10az

Q: Let a = (5, – 4, – 2) and b = (0, – 2, 3). Find the angle between the vector (in radians)

A:

Q: 1. Given two vectors, a = nearest degree. [1, 2, 4] and b = [− 6, 0, 3] determine the angle between…

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Q: Find the direction of the vector (-3, -2) from the first quadrant 5. Three circles with radii 3, 5…

A: Vector(-3,-2)

Q: For the pair of vectors u and v, find the following: u = (-4,4,7), v = (2, -6,3) a. The angle (in…

A:

Q: Suppose that lul = 6 and 11 = 2, and that u v = -8. Find the angle 0 between the vector u and v,…

A:

Q: Exercise If lul=2 , Iwl=3 and the angle of between vis Tys Find Iv-2 Find Iv-2w/ The length of the…

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Q: For Problems 17 through 20, find the angle between the position vectors to the two given points.…

A: According to guidelines we solve only first three parts.

Q: Find the direction angle of the vector u=

A:

Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

A:

Q: Question 7. Find the angle between the vectors v and w: v = (2,1,3), W = = (12, 6, 18)

A: The given vectors are:.To Find: Angle between the given vectors.

Q: Draw position vector OP = (-2,-4,3) on the axis below.

A:

Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: Let A = (1,0, 2), B-(-2,2, 4) be two points, i = AB und i= -i+3j+k. Find 27 – 30 = Find the dot…

A: First find the vector u than do as instructed in question.

Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: 13. The angle between the vectors and .

A:

Q: Find the length and direction of (1, –4, –5). Length is Direction is

A: See attached file for a step by step explanation to find the length and the direction of vector.

Q: Given u, v and w from question 3, find (a) the angle between u and w,

A: u = (4,0,-2) and w = (2,1,6)

Q: A. Determine if p=9i-6j-24k and =(-15,10,40) are parallel, orthogonal or neither. B. Determine the…

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