Lemma

Multivariable Calculus · Chapter 1 of 9

Vectors & geometry

0 curated · 30 from open sources

Curves in space →
AllEasyMediumDeep

From open sources

30

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#TitleDifficulty
134606In Figure 11.4, the medians go from the corners to the midpoints…Deep
134607The point … of the way along is the same for all…Deep
134609By choosing the right vector … in the Schwarz inequality, show that…Deep
134610The Schwarz inequality for … and … says thatDeep
134611The vectors … form a triangle ifDeep
134613If … choose … so that … andDeep
134615(a) Find a vector … at a … angle with … and…Deep
134655To catch a drug runner going from … to … at 8…Deep
134656Show by vectors that the distance from … to the line …Deep
134657It takes three points to determine a planeDeep
134658(projections by calculus) The dot product of … with itself isDeep
134659From their equations, how can you tell if two planes are (a)…Deep
134660The aVR lead isDeep
134661Find the projection on the aVR lead of … in Question 3Deep
134662If the potentials are … (right arm) and … and …, find…Deep
134663If … is perpendicular to a lead …, the reading on that…Deep
134667A triangle in the … plane has corners at … andDeep
134673Take the dot product of equation (*) with … to prove …Deep
134675Let …, …,Deep
134608(b) What does the inequality become when … andDeep
134612(d) The vectors perpendicular to … lie along a lineDeep
134614A methane molecule has a carbon atom at … and hydrogen atoms…Deep
134654A new way to find … in Problem 37: minimizeDeep
134666The triangle … in Example 7 has squared area …, from the…Deep
134668By Problem 42 find the area … of the triangle with corners…Deep
134669Lifting the triangle of Problem 42 up to the plane … gives…Deep
134670(1) The projections of … and … onto the … plane are…Deep
134671(a) For … and …, compute … and … andDeep
134672(a) The triple cross product … is in the plane of …Deep
134674The plane containing … and … and … is perpendicular to the…Deep