(a) The vector v in 2-space of length 5 pointing up at an angle of 37/4 measured from the positive x-axis. -5sqrt2/2 i + 5sqrt2/2 (b) The vector w in 3-space of length 3 lying in the yz-plane pointing upward at an angle of T/4 measured from the positive y-axis. 3sqrt2/2 i + j+ 3sqrt2/2 k

Q: 1) A ball is tossed directly south from an initial height of 20 meters, with an initial velocity of…

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Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

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

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

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Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: The unit vector of the column on the plane 2x + 2z - 4y = 3 is the vector.

A: THE GIVEN QUESTION CAN SOLVED AS SHOWN IN STEP2.

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A: This is application of derivative problem

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A: Find a vector of magnitude 2 parallel to the line of intersection of the planes x + 2y + z - 1 = 0…

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Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: 1. Sketch the vector v = (-2, 4). %3D 10f 4 2 10-8-6-4 -2 -6 -8 10 2. Sketch the vector v = 4i – 6j.…

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Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: Express the vector v =12i -5j as the sum of a vector parallel to b = 3i +4j and a vector orthogonal…

A: here we have to write the vector v in the form: v→=β1+β2Where β1 is parallel to b→ and β2 is…

Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: 1. The vector in the opposite direction to u = = (-1,0) and of half its length is

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A: Topic = vector

Q: 2.) Find two vectors that are orthogonal to the vector v = 8i - j

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Q: 2 nogonal to the vector

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Q: 2. Express the vector v = 3i – 4j as the sum of a vector parallel to b = 2i +3j and a vector…

A: Given, v→=3i^-4j^ The parallel vector c→ to the vector b→=2i^+3j^ can be written as c→=λb→=2λi^+3λj^…

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Q: The unit vector which is perpendicular to both r1=8ax+3ay-2az, * r2=2ax+7ay-6az is equal to a)…

A: Given That: The unit vector is perpendicular to r1=8ax+3ay-2az & r2=2ax+7ay-6az

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A: Solution is given below:

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Q: ) orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

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A: According to Bartleby guidelines I can only answer the first question of the given two problems.

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A: To find out the vector product.

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 4y – 3x +3z = -2 and z…

A: Answer