What is the magnitude of the vector v with initial point P = (-4, 3) and terminat piont Q = (2, -5) ?

Q: When the vector b = -2 is projected onto the line spanned by the vector a = 1 what is the error 2…

A: The projection of b onto a line spanned by a vector a is  b.a^=b.a|a| Given:  b=[-2-2-1]…

Q: Find F‘(0)  for the function f(x)=3xe5x b) Given vectors a=(1,3,-2) and b=(1,1,2) , find  3a +2b…

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Q: (-1,4) onto the Question 2. Calculate the projection of the vector u = vector v = (-4,2). Also draw…

A: Projection of a vector on other vector

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: A particle moves in two dimensional space where i and į are unit vectors in the x and y directions…

A: given  r→=6t-4t2i^+2t j^ a) write down the particle's velocity vector in component form. ii) find…

Q: 2) (i) Find the direction cosines for v= he sum of their squares equals 1. (2,3,4). (ii) Verify that

A: Direction cosine and ratios

Q: Find the velocity vector v(t), given the acceleration vector a(t) = (3e¹, (Use symbolic notation and…

A: Formula for the acceleration is We have and the initial velocity

Q: Express the following vector as the product of its magnitude and a unit vector: v=(3/5)i^ + (4/5)k^

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Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to solve given Questions.

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

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Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). O a. cos Cos cos-() O d. cos-() Ос.

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Q: Find a vector parametrization of the line through P = (3, -5, 7) in the direction v = (3, 0, 1)

A: Given:P=3,-5,7v=3,0,1

Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: What is the terminal point of the vector a = (4, 1) based at P = (1, 5)? Answer:

A: Use the definition of terminal point, we solve this problem as in next step.

Q: How do I find a vector b where, ||b|| = 9 direction =

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Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

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