kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
5.4 Vectors

Vectors can be used to represent quantities that involve both direction and magnitude. There are also quantities whic have magnitude but not direction. These quantities are called scalars.

In the above figure we have three parallel straight lines and there are two different directions that can be associated with these lines as shown by arrowheads. A line with one of these directions prescribed is called a directed line. If a magnitude , say a units in the form of line segment on this line together with one of the two directions on the line are prescribed, we say that we have a directed line segment . In the third line, AB, A is called the initial point and B is called the terminal point of the directed line segment.Since the directed line segment has both magnitude and direction, we call it a vector. Magnitude of a vector is written as |->|
a We employ the symbol AB with a ray symbol above it or a with a ray symbol above to denote the vector.

Types of vectors

Example: Find the magnitude of | 3i + 2 j +4 k|
Solution: (32+22+42
Answer: Magnitude is 17

Directions: Answer the following.
Q 1: Speed is ____ quantity.

Q 2: Acceleration is a ____ quantity.

Q 3: Compute |i+j+k|

Q 4: Find the length of the vector 3i+6j-2k.

Q 5: Which of these is a vector quantity?

Q 6: Vectors are physical quantities that have _____
both magnitude and direction

Q 7: A negative vector has the same direction as that of the given vector but different magnitude.

Q 8: Vectors having the same magnitude and direction are called ____ vectors.

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!

Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to

Quiz Timer