**Differentiate between scalar and vector quantities**

**Answer:**

Parameters |
Scalar |
Vector |

Meaning | A scalar quantity has only magnitude, but no direction. | Vector quantity has both magnitude and direction. |

Quantities | Every scalar quantity is one-dimensional. | Vector quantity can be one, two, or three-dimensional. |

Change | It changes with the change in their magnitude | It changes with the change in their direction or magnitude or both. |

Resolution | Scalar quantity cannot be resolved as it has exactly the same value regardless of direction. | Vector quantity can be resolved in any direction using the sine or cosine of the adjacent angle. |

Operation | Any mathematical operation carried out among two or more scalar quantities will provide a scalar only. However, if a scalar is operated with a vector then the result will be a vector. | The result of mathematical operations between two or more vectors may give either scalar or vector. For example, the dot product of two vectors gives only scalar; while, cross product, summation, or subtraction between two vectors results in a vector. |

Expression | They are denoted by simple alphabets, e.g. V for velocity. | They are denoted by boldface letters, e.g. V for velocity or putting an arrowhead over the letter. |

Measurement | Simple | Complex |

Example | A car is moving at a speed of 30 Km per hour. | A car is moving with a velocity of 30 Km per hour in the East. |

Differentiate between scalar and vector quantities

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