1 -5 4. Let u= -3 and v = 2 (a) Find the distance between u and v. (b) Find the length of u. (c) Find a unit vector in the direction of u.

Q: a= b=

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Q: 5. Find the vector that has magnitude 8 and the same direction as vector <3,6

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A: When you divide a vector by its magnitude you get an unit vector along its direction.

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A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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A: See the detailed solution below.

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A: Let u be the required vector and given vector be v=35i-45k.

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

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A: follow next step

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Q: Sketch your process of determining the vector and find its component form if 7 makes the angle of…

A: Here we can use easy method like spherical coordinates to solve this question. Here magnitude and…

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

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A: Unit vectors

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A: The unit vector makes an angle θ=-3π4 with positive x-axis

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Q: 7.(a) A and Care the points (1,3, –2) and (4,–4,4) respectively. Point B divides AC in the ratio…

A: We find a coordinate in given ratio.

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A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)

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Q: 1. (Vector Operations) Consider = and = k. (a) Find a unit vector in the opposite direction as a.…

A: Answer given below.

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Q: For the vector v = , find a unit vector in the same direction as the vector v

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