>
Exams
>
Mathematics
>
Vector Algebra
>
find the value of k times j cdot i
Question:
Find the value of
\( (k \times j) \cdot i \).
Show Hint
The dot product of any vector with itself is zero if they are perpendicular, which is the case for \( k \) and \( j \).
Bihar Board XII - 2025
Bihar Board XII
Updated On:
Sep 13, 2025
1
-1
0
2i
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The cross product \( k \times j = i \). Therefore, we need to compute the dot product of \( i \) with itself: \[ (k \times j) \cdot i = i \cdot i = 0. \] Thus, the answer is 0.
Download Solution in PDF
Was this answer helpful?
0
0
Top Bihar Board XII Mathematics Questions
Find the derivative of
\[ \frac{d}{dx} \left( \lim_{n \to 1} \frac{x^n - 1}{n+1} \right). \]
Bihar Board XII - 2025
Mathematics
limits and derivatives
View Solution
If the operation 'o' is defined as \( (a \, o \, b) = a^3 + b^3 \), then what is \( 4 \, o \, (1 \, o \, 2) \)?
Bihar Board XII - 2025
Mathematics
Functions
View Solution
Find the integral of
\( \frac{(\sqrt{x+1})^2}{x\sqrt{x + 2x + \sqrt{x}}} \).
Bihar Board XII - 2025
Mathematics
Integration
View Solution
Find \( \tan^{-1} (\sqrt{3}) - \cot^{-1} (-\sqrt{3}) \).
Bihar Board XII - 2025
Mathematics
Inverse Trigonometric Functions
View Solution
Find \( \sin \left( \sin^{-1} \frac{2}{3} \right) + \tan^{-1} \left( \tan \frac{3\pi}{4} \right) \).
Bihar Board XII - 2025
Mathematics
Inverse Trigonometric Functions
View Solution
View More Questions
Top Bihar Board XII Vector Algebra Questions
Evaluate the expression
\( (i \times j) + (i \times i) \).
Bihar Board XII - 2025
Mathematics
Vector Algebra
View Solution
Which of the following is an objective function?
Bihar Board XII - 2025
Mathematics
Vector Algebra
View Solution
Find the dot product of
\( (i - 2j + 5k) \cdot (-2i + 4j + 2k) \).
Bihar Board XII - 2025
Mathematics
Vector Algebra
View Solution
Find the magnitude of the vector
\[ \left| \mathbf{i} - \mathbf{j} - 3 \mathbf{k} \right|. \]
Bihar Board XII - 2025
Mathematics
Vector Algebra
View Solution
Find the square of the vector
\[ (4\mathbf{i} + 3\mathbf{j})^2. \]
Bihar Board XII - 2025
Mathematics
Vector Algebra
View Solution
View More Questions
Top Bihar Board XII Questions
What is equivalent lens? Derive an expression for equivalent focal length of two lenses of focal lengths \(f_1\) and \(f_2\) kept at a distance \(d\).
Bihar Board XII - 2025
Optics
View Solution
By which of the following is sugarcane sown?
Bihar Board XII - 2025
Reproduction in Organisms
View Solution
Describe the process of sex-determination in honeybees.
Bihar Board XII - 2025
Genetics
View Solution
Have you .................. Amrita?
( Choose the correct option )
Bihar Board XII - 2025
Grammar and Language Usage
View Solution
Who was in favour of Partyless Democracy?
Bihar Board XII - 2025
Political Parties
View Solution
View More Questions