𝗔 𝗽𝗵𝘆𝘀𝗶𝗰𝗮𝗹 𝗾𝘂𝗮𝗻𝘁𝗶𝘁𝘆 𝘄𝗵𝗶𝗰𝗵 𝗰𝗮𝗻 𝗻𝗼𝘁 𝗯𝗲 𝘂𝗻𝗱𝗲𝗿𝘀𝘁𝗮𝗻𝗱 𝘄𝗶𝘁𝗵𝗼𝘂𝘁 𝗱𝗶𝗿𝗲𝗰𝘁𝗶𝗼𝗻 𝗶𝘀 𝗰𝗮𝗹𝗹𝗲𝗱
a) Scalar
b) vector
c) simple number
d) N.O.T
Answer;
A physical quantity that cannot be understood or measured without direction is called a vector quantity. Unlike scalar quantities, which can be described with just a magnitude (such as temperature or mass), vector quantities require both magnitude and direction to fully represent them. Some common examples of vector quantities include displacement, velocity, acceleration, force, and momentum.
𝗣𝗶𝗰𝗸 𝗼𝘂𝘁 𝘁𝗵𝗲 𝘀𝗰𝗮𝗹𝗮𝗿 𝗾𝘂𝗮𝗻𝘁𝗶𝘁𝘆 𝗶𝗻 𝘁𝗵𝗲 𝗳𝗼𝗹𝗹𝗼𝘄𝗶𝗻𝗴
a) Velocity
b) momentum c) time
d) electric intensity
Answer;
Time is a scalar quantity because it can be measured and described solely by its magnitude. In other words, time does not have a direction associated with it. We can measure time in seconds, minutes, hours, etc., and perform arithmetic operations on those measurements without considering any specific direction. For example, if an event lasts for 2 hours, we can simply state that the duration is 2 hours without needing to specify a direction.
𝗖𝗵𝗼𝗼𝘀𝗲 𝘁𝗵𝗲 𝘃𝗲𝗰𝘁𝗼𝗿 𝗾𝘂𝗮𝗻𝘁𝗶𝘁𝘆 𝗳𝗿𝗼𝗺 𝘁𝗵𝗲 𝗳𝗼𝗹𝗹𝗼𝘄𝗶𝗻𝗴
a) Distance
b) torque
c) length d) energy
Answer;
Torque is a vector quantity. It represents the rotational force applied to an object and depends on both magnitude and direction. The twisting or rotational motion is determined by the direction of the torque vector.
𝗪𝗵𝗲𝗻 𝗮 𝘃𝗲𝗰𝘁𝗼𝗿 𝗶𝘀 𝗺𝘂𝗹𝘁𝗶𝗽𝗹𝗶𝗲𝗱 𝗯𝘆 𝗮 𝗻𝗲𝗴𝗮𝘁𝗶𝘃𝗲 𝗻𝘂𝗺𝗯𝗲𝗿 𝗶𝘁𝘀 𝗱𝗶𝗿𝗲𝗰𝘁𝗶𝗼𝗻 𝗰𝗵𝗮𝗻𝗴𝗲𝘀 𝗯𝘆
a) 0°
b) 45°
c) 180° d) 90°
Answer;
𝗔 𝘃𝗲𝗰𝘁𝗼𝗿 𝘄𝗵𝗶𝗰𝗵 𝗰𝗮𝗻 𝗯𝗲 𝗱𝗶𝘀𝗽𝗹𝗮𝗰𝗲𝗱 𝗽𝗮𝗿𝗮𝗹𝗹𝗲𝗹 𝘁𝗼 𝗶𝘁𝘀𝗲𝗹𝗳 𝗶𝘀 𝗰𝗮𝗹𝗹𝗲𝗱 𝗮𝘀
a) Position vector
b) unit vector
c) free vector d) null vector
Answer;
Free vector is a type of vector that remains unchanged when it is displaced parallel to itself. In other words, its position in space can be shifted without altering its properties, such as magnitude and direction.
Free vectors are often contrasted with bound vectors, which are dependent on their specific location or point of application and can change when displaced. Bound vectors have a fixed starting point and ending point, and their displacement affects their properties.
𝗧𝗵𝗲 𝗵𝗲𝗮𝗱 𝘁𝗼 𝘁𝗮𝗶𝗹 𝗿𝘂𝗹𝗲 𝗶𝘀 𝘂𝘀𝗲𝗱 𝗳𝗼𝗿 𝘁𝗵𝗲 𝘃𝗲𝗰𝘁𝗼𝗿
a) Subtraction
b) addition
c) division d) multiplication
Answer;
Addition
𝗹𝗮𝘄 𝗼𝗳 𝗰𝗼𝘀𝗶𝗻𝗲 𝗶𝘀 𝘂𝘀𝘂𝗮𝗹𝗹𝘆 𝘂𝘀𝗲𝗱 𝘁𝗼 𝗳𝗶𝗻𝗱 𝘃𝗲𝗰𝘁𝗼𝗿'𝘀
a) Direction
b) magnitude
c) dimension d) unit
𝗹𝗮𝘄 𝗼𝗳 𝘀𝗶𝗻𝗲 𝗶𝘀 𝘂𝘀𝗲𝗳𝘂𝗹 𝘁𝗼 𝗳𝗶𝗻𝗱 𝘃𝗲𝗰𝘁𝗼𝗿
a) Direction b) magnitude
c) dimension
d) unit
𝗧𝗵𝗲 𝗽𝗿𝗼𝗱𝘂𝗰𝘁 𝗼𝗳 𝗮 𝘀𝗰𝗮𝗹𝗮𝗿 𝗮𝗻𝗱 𝘃𝗲𝗰𝘁𝗼𝗿 𝗶𝘀 𝗮𝗹𝘄𝗮𝘆𝘀
a) Scalar b) vector
c) both a & b
d) N.O.T
Answer;
The product of a scalar and vector is: vector.
When a scalar (a quantity that only has magnitude) is multiplied by a vector (a quantity that has both magnitude and direction), the result is always a vector. This operation is known as scalar-vector multiplication.
Scalar multiplication involves scaling the magnitude of the vector by the value of the scalar while preserving its direction. The resulting vector will have the same direction as the original vector but with a modified magnitude.
𝗧𝗵𝗲 𝗮𝗻𝗴𝗹𝗲 𝗯𝗲𝘁𝘄𝗲𝗲𝗻 𝘁𝘄𝗼 𝗻𝗲𝗴𝗮𝘁𝗶𝘃𝗲 𝘃𝗲𝗰𝘁𝗼𝗿𝘀 𝗼𝗳 𝗲𝗮𝗰𝗵 𝗼𝘁𝗵𝗲𝗿 𝗶𝘀
a) 0° b) 45°
c) 180°
d) 90°
Answer;
The angle between two negative vectors of each other is:180°.
When considering two vectors, if one vector is the negation or negative of another vector, they are essentially pointing in exactly opposite directions. In this scenario, the angle between the two vectors is 180°.
Negative vectors have the same magnitude but opposite directions. Mathematically, if you subtract one vector from another and obtain the negation of the original vector, they are negative vectors of each other.
