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### High School Mathematics - 25.4 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: Ö(32+22+42 Answer: Magnitude is Ö17 Directions: Answer the following.
 Q 1: Acceleration is a ____ quantity.scalarvector Q 2: Find the length of the vector 3i+6j-2k.19Ö7 Q 3: If vector a = - vector b,is it true that their magnitudes are same.yesno Q 4: Vectors having the same magnitude and direction are called ____ vectors.unitzeroequal Q 5: Which of these is a vector quantity?VelocityMassTimeTemperature Q 6: Vectors are physical quantities that have _____magnitudedirectionboth magnitude and direction Q 7: Compute |i+j+k| Ö353 Q 8: Scalars are physical quantities that havedirectionmagnitudeboth Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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