Given a point A with its relative position vector a= [-1, 5] and a point B with its relative position vector b= [4, 3], find the position vector p of the point P that is one third of the way from A to B on the line segment AB (see axample in figure) 6 4 2 0 0 2 P b 4 6 Write the results accurate to the 3rd decimal place. Px= Number Py= Number

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

A:

Q: Let vector v = 3i – 2j+ 4k and point P = (0,0, -3). For what point Q is it true that v = PQ?

A:

Q: find an equationfor the line through P parallel to v. Then sketch the line. Include v inyour sketch…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=&lt;-4,3,7&gt;+t&lt;-4, -2,-12&gt;Explanation:Hope it helps youplease ask if you have any…

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

A: