COMEDK · Maths · 33. Vector Algebra
The angle between the vectors \(a=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(b=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) is
- A \(\sin ^{-1}\left(\frac{1}{6}\right)\)
- B \(\cos ^{-1}\left(\frac{1}{6}\right)\)
- C \(\sin ^{-1}\left(\frac{1}{\sqrt{6}}\right)\)
- D \(\cos ^{-1}\left(\frac{1}{\sqrt{6}}\right)\)
Answer & Solution
Correct Answer
(B) \(\cos ^{-1}\left(\frac{1}{6}\right)\)
Step-by-step Solution
Detailed explanation
We have, \(a=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\alpha, \beta, \gamma\) are the roots of the equation \(x^{3}-3 x^{2}+2 x-1=0\), then the value of \((1-\alpha)(1-\beta)(1-\gamma)\) isCOMEDK 2012 Easy
- The probability distribution of a discrete random variable X is given as
X 1 2 4 2A 3A 5A P(X) \(\dfrac{1}{2}\) \(\dfrac{1}{5}\) \(\dfrac{3}{25}\) K \(\dfrac{1}{25}\) \(\dfrac{1}{25}\)
\(\text { Then the value of } A \text { if } E(X)=2.94 \text { is }\)COMEDK 2023 Medium - The modulus and amplitude of \((1+i \sqrt{3})^{8}\) are respectivelyCOMEDK 2016 Hard
- If \(\log _{4} 2+\log _{4} 4+\log _{4} x+\log _{4} 16=6\), then the value of \(x\) isCOMEDK 2017 Easy
- If the line through \(A=(4,-5)\) is inelined at an angle \(45^{\circ}\) with the positive direction of the \(X\)-axis, then the coordinates of the two points on opposite sides of \(A\) at a distance of \(3 \sqrt{2}\) units areCOMEDK 2018 Easy
- If \(f(x)=\frac{2 x-3}{3 x+4}\), then \(f^{-1}\left(\frac{-4}{3}\right)=\)COMEDK 2014 Easy
More PYQs from COMEDK
- Decomposition of hydrogen peroxide can be prevented by addingCOMEDK 2023 Easy
- From the given covalent compounds (A to F) identify the pair of molecules which have:
(i) Two lone pairs of electrons on the central atom.
(ii) One lone pair of electrons on the central atom.
A. \(\mathrm{SO}_2\)
B. \(\mathrm{ClF}_3\)
C. \(\mathrm{BF}_3\)
D. \(\mathrm{BrF}_5\)
E. \(\mathrm{XeF}_4\)
F. \(\mathrm{SF}_6\)COMEDK 2025 Medium - The lines \(\dfrac{x-1}{2}=\dfrac{y-4}{4}=\dfrac{z-2}{3}\) and \(\dfrac{1-x}{1}=\dfrac{y-2}{5}=\dfrac{3-z}{a}\) are perpendicular to each other, then \(a\) equals toCOMEDK 2023 Easy
- Identify the false statement.COMEDK 2012 Medium
- If \(a\) is a real number such that \(\int_\limits0^a x d x \leq a+4\) thenCOMEDK 2024 Easy
- Identify the reagents, [A] and [B] used up when Salicylic acid undergoes the following reactions:
COMEDK 2026 Medium