In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular coordinates;

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: A vector has components A₁, A₂ and 43 in a right-handed rectangu The coordinate system is rotated…

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles…

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Q: Let v be the vector from initial point P, to terminal point P2. Write v in terms of i and j. P, =…

A: Now we will find the V using the formula  V = ( X2 - X1) i + ( Y2 - Y1) j

Q: Express the vector from P(-1, -4, 6) to Q(1, 3, -6) as a position vector in terms of i, j, and k.

A: Given vectors are P-1,-4,6 and Q1,3,-6.

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: 1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two…

A: Given : Point : ⟨ 4 , 3 , - 1 ⟩  Sum : ⟨ -3 ,0,2⟩