Vectors

A particle P is initially at the point with position vector (30, 10) and moves with a constant speed of 10ms^-1 to the same direction as (-4, 3) to find the position vector of p after t seconds.I've t...

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A line $\vec{L}$ has symmetric equations $\frac{5}{3}x-3 = \frac{4}{3}y + 1 = \frac{1}{3}z + 2$.The point P (0,-1,-2) does not lie on the line. Find the equation of the plane which contains both the l...

The problem that I'm struggling with is question C. I've attached an image to show the problem.

https://imgur.com/a/fRTICyp

I do not understand how to write geometric descriptions or how the different boundaries change them in parts b,c, and d v = [5,2] w = [1,2] a) give a geometric description of the set of all vectors of...

10 short questions on matrices, vectors, coordinates etc. Please show as much working out as possible, thanks.

Please ONLY answer questions 1a, 1b, 2b, 2c, 6a and 6b (i and ii).Please also show as much working out as possible - thank you!

Three questions on vectors. Please provide all the working out for the answers. Thanks.

Only need detailed, step by step solutions for questions 1 and 11.The rest just need final answers where indicated.

Only need detailed, step by step solutions for questions 15 and 18. The rest just require the correct answers to the multiple choice selections and final answers where shown."the table" specified in q...

Hello everyone, I'm currently working on a project explorting how to find the distance between two points along a curve. My first method is try create a plane cutting through the surface and both poin...

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Questions in attached 

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Note: i j k are i-hat, j-hat, k-hatFind the symmetric equations and the parametric equations of a line, and/or the equation of a plane satisfying the following given conditions1. Line through (5, -4,...

I am trying to understand how to derive the given equation for deltaL from the given geometry. For some reason I can't seem to get it. Thanks.

I need help with these couple of problems Thanks!