Question:
The centre and radius of the sphere \(|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4\) are __________
The centre and radius of the sphere \(|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4\) are __________
Updated On: Oct 4, 2024
- \((-\frac{3}{2},\frac{1}{2},-2)\space and\space4\)
- \((-\frac{3}{2},\frac{1}{2},-2)\space and\space2\)
- \((-\frac{3}{2},\frac{1}{2},-2)\space and\space6\)
- \((-\frac{3}{2},\frac{1}{2},-2)\space and\space5\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): \((-\frac{3}{2},\frac{1}{2},-2)\space and\space2\)
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
- Find the angle between the vectors \( \mathbf{a} = (2, -1, 3) \) and \( \mathbf{b} = (1, 4, -2) \).
- BITSAT - 2025
- Mathematics
- Vector Algebra
- Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).
- BITSAT - 2025
- Mathematics
- Vector Algebra
- $7\hat{i}-4\hat{j}+7\hat{k}, \hat{i}-6\hat{j}+10\hat{k}, -\hat{i}-3\hat{j}+4\hat{k}, 5\hat{i}-\hat{j}+\hat{k}$ are the position vectors of the points A, B, C, D respectively. If $p\hat{i} + q\hat{j} + r\hat{k}$ is the position vector of the point of intersection of the diagonals of the quadrilateral ABCD, then $p+q+r=$
- TS EAMCET - 2025
- Mathematics
- Vector Algebra
- Let $ \vec{a} $ and $ \vec{b} $ be the vectors of the same magnitude such that $ \frac{| \vec{a} + \vec{b} | + | \vec{a} - \vec{b} |}{| \vec{a} + \vec{b} | - | \vec{a} - \vec{b} |} = \sqrt{2} + 1. \quad \text{Then } \frac{| \vec{a} + \vec{b} |^2}{| \vec{a} |^2} \text{ is:} $
- JEE Main - 2025
- Mathematics
- Vector Algebra
View More Questions
Questions Asked in SRMJEEE exam
- Calculate the Reynolds number for a liquid with density 1 g/cm³ and viscosity 8 × 10⁻⁴ Pa·s, flowing at 0.5 m/s through a pipe of diameter 4 cm.
- SRMJEEE - 2025
- Viscosity
- A current of 2 A passes through a coil of 100 turns, producing a magnetic flux of 5 × 10⁻⁵ Wb per turn. What is the magnetic energy associated with the coil?
- SRMJEEE - 2025
- Magnetic Field
- A box contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
- SRMJEEE - 2025
- Probability
- Markovnikov's rule is applicable to which of the following reactions?
- SRMJEEE - 2025
- Chemical Reactions
- The molar conductivities at infinite dilution for Na₂SO₄, K₂SO₄, KCl, HCl, and HCOONa at 300 K are 260, 308, 150, 426, and 105 S·cm²·mol⁻¹, respectively. What will be the molar conductivity at infinite dilution (Λ⁰) for formic acid in the same unit?
- SRMJEEE - 2025
- Mole concept and Molar Masses
View More Questions