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Vectors: Introductory Problems
These problems cover the basic of vectors, products, properties of vectors and will also introduce you to the idea of proving geometric properties using vectors.Q:
Q: In a triangle ABC, find the condition for AB^{2}^{2}^{2}^{2}
Q: Prove
that if a point is equidistant from the vertices of a right angled
triangle, its joint to the middle point of the hypotenuse is
perpendicular to the plane of the triangle.
Q: If a, b, c a + b + c a, b, c
Q: Given that a.b = a.c, a x b = a x cab=c
Q: Prove that axb = [(i x a).b]i + [(j x a).b]j + [(k x a).b]k
Q: Show
that the perpendicular distance of a point whose position vector is a
from the plane through three points with position vectors b, c, d[b c d] + [c a d] + [a b d] – [a b c]/[b x c + c x d + d x b]
Tutorial with Solved Problems (Also check out the two MCQ Quizzes at the end of this page) :
Companion MCQ Quiz #1 for Vectors test how much you know about the topic. Your score will be emailed to you at the address you provide.
Vectors #1Google Spreadsheet Form
MCQ Quiz #2: Vectors More Challenging ProblemsCompanion MCQ Quiz #2 for Vectors test how much you know about the topic. Your score will be emailed to you at the address you provide. Quiz #2: The Basics of Vectors More Challenging ProblemsGoogle Spreadsheet Form
In case you're interested in learning more about Vectors, here's the full set of tutorials we have :
