Question:
Classify the following as scalar and vector quantities. (i)Time period (ii)Distance (iii)Force (iv)Velocity (v)Work done
Classify the following as scalar and vector quantities. (i)Time period (ii)Distance (iii)Force (iv)Velocity (v)Work done
Updated On: Sep 1, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
(i)Time period is a scalar quantity as it involves only magnitude.
(ii)Distance is a scalar quantity as it involves only magnitude.
(iii)Force uis a vector quantity as it involves both magnitude and direction.
(iv)Velocity is a vector quantity as it involves both magnitude as well as direction.
(v)Work done is a scalar quantity as it involves only magnitude.
Was this answer helpful?
0
0
Top Questions on Vector Algebra
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Mathematics
- Vector Algebra
Let \( \vec{a} \) and \( \vec{b} \) be two co-initial vectors forming adjacent sides of a parallelogram such that:
\[ |\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12 \] Find the area of the parallelogram.- If \( \hat{a}, \hat{b} \) and \( \hat{c} \) are unit vectors such that \[ \hat{a} \cdot \hat{b} = \hat{a} \cdot \hat{c} = 0 \] and the angle between \( \hat{b} \) and \( \hat{c} \) is \( \frac{\pi}{6} \), then prove that: \[ \hat{a} = \pm 2 (\hat{b} \times \hat{c}) \]
- If \( |\vec{a}|^2 = 1 \), \( |\vec{b}| = 2 \) and \( \vec{a} \cdot \vec{b} = 2 \), then the value of \( |\vec{a} + \vec{b}| \) is:
- Two vectors \( \vec{a} \) and \( \vec{b} \) are such that \( |\vec{a} \times \vec{b}| = \vec{a} \cdot \vec{b} \). The angle between the two vectors is:
View More Questions
Questions Asked in CBSE CLASS XII exam
- “The political power or kingship was rarely dependent on birth as Kshatriyas but also open to anyone who could muster support and resources.” Explain the statement with the examples from sixth century BCE onwards.
- CBSE CLASS XII - 2025
- Kinship, Caste and Class
- A conductor of length \( l \) is connected across an ideal cell of emf E. Keeping the cell connected, the length of the conductor is increased to \( 2l \) by gradually stretching it. If R and \( R' \) are initial and final values of resistance and \( v_d \) and \( v_d' \) are initial and final values of drift velocity, find the relation between:
\( R' \) and \( R \)
\( R' = 4R \)- CBSE CLASS XII - 2025
- Current electricity
- How was the 'Students on Ice' programme significant in giving an awakening call to the younger generation? (Journey to the End of the Earth)
- CBSE CLASS XII - 2025
- Journey to the end of the earth
- Aakash and Baadal entered into partnership on 1st October, 2023 with the capitals of ₹ 80,00,000 and ₹ 60,00,000 respectively. They decided to share profits and losses equally. Partners were entitled to interest on capital @ 10% per annum as per the provisions of the partnership deed. Baadal is given a guarantee that his share of profit, after charging interest on capital will not be less than ₹ 7,00,000 per annum. Any deficiency arising on that account shall be met by Aakash. The profit of the firm for the year ended 31st March, 2024 amounted to ₹ 13,00,000. Prepare Profit and Loss Appropriation Account for the year ended 31st March, 2024.
- CBSE CLASS XII - 2025
- Profit and Loss Account
- Differentiate \(\frac{\sin x}{\sqrt{\cos x}}\) with respect to x.
- CBSE CLASS XII - 2025
- Differentiation
View More Questions
Concepts Used:
Types of Vectors
In general, vectors are used in Maths and Science and are categorized into 10 different types of vectors such as:-
- Unit Vector - When a vector has a magnitude of 1 unit length, called a Unit Vector.
- Co-Initial Vector - Two or more vectors that have the same initial point are known to be Co-Initial Vectors.
- Coplanar Vector - Vectors that lie either in the same plane or are parallel to the same plane are called Coplanar vectors.
- Equal Vector - When two vectors have equal direction as well as magnitude, they are Equal Vectors, even if the initial point is different for both vectors.
- Negative of a Vector - When two vectors have the same magnitude but have exactly different directions.
- Zero Vector - When a vector has the same starting and ending point and has zero magnitudes is called a zero vector. The starting point needs to coincide with the terminal point. It is denoted by 0. It is also known as the null vector.
- Position Vector - A vector that indicates the location or the position of a point in a plane (three-dimensional Cartesian system) w.r.t. its origin. If A is a reference origin and there’s an arbitrary point B in the plane then AB will be called the position vector of the point.
- Like and Unlike Vectors - Like vectors are the vectors that have the same direction. And unlike vectors are the vectors that have opposite directions.
- Collinear Vector - Vectors either lying in the same line or which are parallel to the same line are Collinear vectors.
- Displacement Vector - The vector AB will be known as a displacement vector if a point is displaced from position B to position A.