Question 01:Sketch the vectors ro =< -1,2 > and v=< 1,1 > and then sketch the six vectors ro ±v,ro ± 2v,ro ±3v. Draw the line L: –1+t,y = 2+ t, and describe the relationship between L and the vectors you have sketched.What is the vector equation of L?Question 02:Let L, and L2 be the line whose parametric equations are:L1:x = 4t, y = 1 – 2t, z = 2 + 2tL2:x = 1+ t, y = 1 – t, z = -1+ 4t• Show that L1 and L2 intersect at the point (2,0,3).• Find, to the nearest degree, the acute angle between L1 and L2 at their intersection.• Find parametric equations for the line that is perpendicular to L, and L2 and passes through their point ofintersection.

Given vectors are: r0→=-1,2 and v→=1,1 That is: r0→=-1i^+2j^ and v→=i^+j^ These vectors are…

Question 01: Sketch the vectors ro =< -1,2 > and v=< 1,1> and then sketch the six vectors ro ±v,r, ± 2v,r, ± 3v. Draw the line L:-1+t,y= 2+ t, and describe the relationship between L and the vectors you have sketched. What is the vector equation of L?

Question 01: Sketch the vectors ro =< -1,2 > and v=< 1,1> and then sketch the six vectors ro ±v,r, ± 2v,r, ± 3v. Draw the line L:-1+t,y= 2+ t, and describe the relationship between L and the vectors you have sketched. What is the vector equation of L?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

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