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### Vectors: Introductory Problems, Examples and MCQ Quizzes - Related to products, properties of vectors, proving geometric properties using vectors. #### Introduction to VectorsVectors: Introductory Problems and Examples Applying Vectors to Geometric ProblemsVector Applications in 2D and 3D GeometryVector Differential And Integral Calculus: Theory and DefinitionsVector Differential And Integral Calculus: Solved Problem Sets

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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 AB2222

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]

### MCQ Quiz #1: Vectors

Companion MCQ Quiz #1 for Vectors- test how much you know about the topic. Your score will be e-mailed to you at the address you provide.

### MCQ Quiz #2: Vectors- More Challenging Problems

Companion MCQ Quiz #2 for Vectors- test how much you know about the topic. Your score will be e-mailed to you at the address you provide.

#### Quiz #2: The Basics of Vectors- More Challenging Problems

In case you're interested in learning more about Vectors, here's the full set of tutorials we have :

 Vectors 1a ( Theory and Definitions: Introduction to Vectors; Vector, Scalar and Triple Products) Vectors 1b ( Solved Problem Sets: Introduction to Vectors; Vector, Scalar and Triple Products ) Vectors 2a ( Theory and Definitions: Vectors and Geometry ) Vectors and geometry. Parametric vectorial equations of lines and planes. Angles between lines and planes. Co-planar and collinear points. Cartesian equations for lines and planes in 3D. Vectors 2b ( Solved Problem Sets: Vectors and Geometry ) Vectors 3a ( Theory and Definitions: Vector Differential and Integral Calculus ) Vectors 3b ( Solved Problem Sets: Vector Differential and Integral Calculus )