Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and (5, Select one alternative: ○ (-1,5, 15) " ○ (5,-2, 1) (3.1.3)

Q: mine the (smaller) angle between the two ve Sa - 7a +4a 0 r Ф 2a + a - 3a 0 1 Ф

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find the vector equation of the line that goes through the point (10,15,9)(10,15,9) and is…

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Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k…

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Q: Express vector t = (3, 6, -6, 9) as a linear combination of vectors u = (-1, 3, 0, 7) and v = (-5,…

A: The given vectors are: t=3, 6, -6, 9u=-1, 3, 0, 7v=-5,0, 6, 5 We have to express the vector t as a…

Q: Q2/ (a) Let A (2,3,0) and B (-1,- 2,- 4) be two points. Find the vector AB in terms of the standard…

A: The detailed solution is as follows below:

Q: how can i learnd about vector in r2 and r3?

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Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Which of the following is a normal vector to the plane which is parallel to vectors (0,−3,1) and…

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Q: Find two vectors v1 and v2 whose sum is , the rest is on the photo

A: We know if two vectors are parallel then they have same direction or opposite direction. If two…

Q: Find the vector that parallel to the intersection line of two planes 2x +y-3z 2 and -x+2y-z 1.

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Q: Vectors a' and b are perpendicular to one another. Find k : a'(k², –k, 1), b´ (k, 3, – 2)

A: Scalar product of two vectors

Q: Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4…

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Q: Sketch the vectors in the plane a= (6, 1), b=(-1, 5) Calculate the dot product a•b for the vectors…

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Q: (4) You are doing some calculations about a solar panel on the roof of a house as shown in the image…

A: Given: Let the given vectors are a→=-10, 0, 6=-10i^ + 0j^ +6k^b→=0, 4, 0=0i^ + 4j^ + 0k^s→=13, 23,…