Advertisements
Advertisements
Question
Read the statement below carefully and state with reason, if it is true or false:
The magnitude of a vector is always a scalar.
Options
True
False
Solution
This statement is True.
Explanation:
The magnitude of any physical quantity is a positive number that does not have a direction; therefore, The magnitude of a vector is always a scalar.
APPEARS IN
RELATED QUESTIONS
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:
- adding any two scalars,
- adding a scalar to a vector of the same dimensions,
- multiplying any vector by any scalar,
- multiplying any two scalars,
- adding any two vectors,
- adding a component of a vector to the same vector.
Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere? Explain.
Read statement below carefully and state, with reasons and examples, if it is true or false:
A scalar quantity is one that has the same value for observers with different orientations of axes
Which one of the following statements is true?
The angle between A = `hati` + `hatj` and B = `hati` − `hatj` is ______.
Three vectors A, B and C add up to zero. Find which is false.
If |A| = 2 and |B| = 4, then match the relations in column I with the angle θ between A and B in column II.
| Column I | Column II |
| (a) A.B = 0 | (i) θ = 0 |
| (b) A.B = + 8 | (ii) θ = 90° |
| (c) A.B = 4 | (iii) θ = 180° |
| (d) A.B = – 8 | (iv) θ = 60° |
A butterfly is flying with a velocity `4sqrt2` m/s in a North-East direction. The wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is ______.
The magnitude of vectors `vec"A"`, `vec"B"` and `vec"C"` are respectively 12, 5 and 13 units and `vec"A"` + `vec"B"` = `vec"C"`, then the angle between `vec"A"` and `vec"B"` is ______.
If the projection of `2hat"i"+4hat"j"-2hat"k"` on `hat"i"+ 2hat"j"+alphahat"k"` is zero. Then, the value of α will be ______.
