We should be cleared about the meanings, definitions of the subject matter before solving its questions. Moreover, if we know how the specific formula is derived then it will never vanish from our mind and derivations of the formula is also being asked in the examinations. Taking all these things in consideration we have made a complete e-book for your easiness. It includes all the definitions, formulas and derivations of each unit of the optional maths and all the definitions, formulas and derivations given in this article have been asked in the SLC/SEE.
It would be long and quite irritating to you to read if we combine all the units in the single article. So, we have divided this e-book into two parts and this is part two and can click here to go to part one.
Click here to read part one and here to download PDF of this post :-)
UNIT 5: VECTOR
Generally, the vectors are denoted by the bold-faced type of letters but the bold-faced type of letters is an inconvenience to indicate in writing. So, it is not applied. A vector will be represented by a letter or a combination of two letters of an alphabet with an arrow over it. For example, a or AB is not a vector because it does not have an arrow over it.
Vector Geometry:
A study about different properties and relations relating to the geometry can be done with the help of vectors as an application of vectors is known as Vector Geometry.
In this article, we are gonna discuss the important theorems of the vector. They are shown below in pictures because of not supporting the maths equation.
FORMULA:
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| Centroid Formula |
THEOREM:
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| Line joining midpoint of any two sides of the triangle is parallel to the third side and half of it |
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| Median of an isosceles triangle is perpendicular to the base |
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| The object made by joining midpoint of a quadrilateral is a parallelogram |
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| Diagonal of a Parm. bisects each other. |
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| The diagonal of the rectangle is equal to each other. |
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| Diagonal of Rhombus intersect at the right angle |
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| The angle at circumference in a semicircle is a right angle. |
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| The middle point of the hypotenuse of a right angle triangle is equidistant from its vertices. |
Info! Click Here to read/download part one[Trigonometry, Vector]
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