alleryA physical quantity that has both magnitude and direction is called a:
- modulus
- vector
- scalar
- unit
Show answer and solution
Correct answer: B. vector
A quantity with both magnitude and direction is a vector
one with magnitude only is a scalar.
JEE Advanced Unit 9A: Parametric Equations and Plane Curves — practice questions — page 2
Explore 43 free Unit 9A: Parametric Equations and Plane Curves questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–43 of 43.
A physical quantity that has both magnitude and direction is called a:Read the answer and worked solution →The magnitude of the vector $3\hat{i} + 4\hat{j}$ is:Read the answer and worked solution →A unit vector is a vector whose magnitude is:Read the answer and worked solution →The position vector of a point $P(x,y,z)$ with respect to the origin is:Read the answer and worked solution →The scalar (dot) product $\vec{a}\cdot\vec{b}$ equals:Read the answer and worked solution →The value of $\hat{i}\cdot\hat{j}$ is:Read the answer and worked solution →The magnitude of the cross product $|\vec{a}\times\vec{b}|$ equals:Read the answer and worked solution →Two non-zero vectors $\vec a$ and $\vec b$ are perpendicular if and only if:Read the answer and worked solution →The unit vector in the direction of $3\hat{i} + 4\hat{j}$ is:Read the answer and worked solution →The dot product of $(2\hat{i}+3\hat{j}+\hat{k})$ and $(\hat{i}-\hat{j}+\hat{k})$ is:Read the answer and worked solution →The value of $\hat{i}\times\hat{j}$ is:Read the answer and worked solution →For any vector $\vec a$, the dot product $\vec a\cdot\vec a$ equals:Read the answer and worked solution →The magnitude of the vector $\hat{i}+\hat{j}+\hat{k}$ is:Read the answer and worked solution →
Worked practice questions
The magnitude of the vector $3\hat{i} + 4\hat{j}$ is:
- 25
- $\sqrt7$
- 7
- 5
Show answer and solution
Correct answer: D. 5
|3î+4ĵ| = √(3²+4²) = √25 = 5.
A unit vector is a vector whose magnitude is:
- equal to its direction
- $\sqrt2$
- 1
- 0
Show answer and solution
Correct answer: C. 1
A unit vector has magnitude 1 (it only fixes direction).
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