Question:
The value of \(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\times\hat k\))+\(\hat k\).(\(\hat i\times \hat j\)) is
The value of \(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\times\hat k\))+\(\hat k\).(\(\hat i\times \hat j\)) is
Updated On: Sep 19, 2023
- 0
- -1
- 1
- 3
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
\(\hat i\).(\(\hat j\)×\(\hat k\))+\(\hat j\).(\(\hat i\)×\(\hat k\))+\(\hat k\).(\(\hat i\)×\(\hat j\))
=\(\hat i.\hat i\).i^+\(\hat j.(-\hat j)\)+\(\hat k.\hat k\)
=1-\(\hat j.\hat j\)+1
=1-1+1
=1
The correct answer is C.
Was this answer helpful?
0
0
Top Questions on Vector Algebra
- Find the angle between the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \).
- BITSAT - 2025
- Mathematics
- 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
- 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
- Which of the following is an objective function?
- Bihar Board XII - 2025
- Mathematics
- Vector Algebra
View More Questions
Questions Asked in CBSE CLASS XII exam
- The budget under which the government may spend an amount equal to the revenue it collects is referred to as a ...... Budget.
- CBSE CLASS XII - 2025
- Government Budgeting
- Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]
- CBSE CLASS XII - 2025
- Integration
- If an object in case (i) above is 20 cm from the lens and the screen is 50 cm away from the object, the focal length of the lens used is:
- Identify, which of the following is not to be considered while estimating Revenue Deficit of a country.
- CBSE CLASS XII - 2025
- Government Budgeting
- If \[ f(x) = \begin{cases} \frac{\sin^2(ax)}{x^2}, & x \neq 0 \\ 1, & x = 0 \end{cases} \] is continuous at \( x = 0 \), then the value of \( a \) is:
- CBSE CLASS XII - 2025
- Continuity
View More Questions