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Unit Vector and Zero Vectors
Unit Vector
Any vector along with magnitude of 1, that is || u→|| = 1, is called a unit vector.
Zero Vectors
The vector w→ = (0,0) is called a zero vector as its components are all zero. Zero vectors are frequently denoted by 0→. Be careful to differentiate 0 (the number) from 0→ denotes the vector. The number 0 represents the origin in space, whereas the vector 0→ denotes a vector that comprises no magnitude or direction.
Initial Conditions and Boundary Conditions In many problems on integration, an initial condition (y = y 0 when x = 0) or a boundary condition (y = y
Obligatory application/interpretation problem : Next, we need to do our obligatory application/interpretation problem so we don't forget about them. Example : Assume that the
Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.
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By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
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A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi
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