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Title: Vectors and the Dot Product
1. Let v be a vector from initial point P1=(-11,-12) to terminal point P2 =(2,5). Write v in terms of i and j.
2. Let u=8i - 6j and v= -5i + 8j. find the vector u - v.
3. find the unit vector that has the same direction as vector v= -12j.
4. let u=4i + 2j and v= -5i - 3j. find the vector u - v.
5. let u= 6i - 3j. find 3u
6. let u= 2i + 2j and v= -3i +7j . find u x v.
Identify which lines are parallel (Hint :- Parallel line have the same gradient and perpendicular lines when their gradients are multiplied you get -1) Find the gradient of the line joining the two points
base elevation of 8700 ft, mountain peak in colorado rises 14407 ft over distance of 15844 ft. find the grade of the peak.
Evaluate the integral by completing the square and using the following formula. (Remember to use ln |u| where appropriate.)
consider a scheduling problem where there are five activities to be scheduled in four time slots. suppose we represent
Identification of the Slope, y-intercept, and x-intercept of the given equation.
find the centroid of a thin, flat plate covering the region enclosed by the parabola y^2=x and the line x=2y.
There are currently 424 laying hens at Egg City Farm. Use the product rule to determine the rate at which egg production at Egg City Farm is currently changing per month.
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
list all possible ways of using a square as a polygonal disk with gluing scheme(dont list the same square rotated and /or flipped) (include squares where not all edges are identified). State the name of the resulting object in each case.
a rectangle is bounded by the x- and y- axes and the graph of y=6-x/2. What length and width should the rectangle have so that its area is a maximum?
inverse functions1i let fxlnx3 sketch the mirror line of yx on the axes. sketch fx on the axes.ii indicate the domain
A car is traveling at 88 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
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