TS EAMCET · Maths · Vector Algebra
If \(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) and \(\mathbf{c}=3 \hat{\mathbf{i}}-4 \hat{\mathbf{k}}\), then match the items of List-I with those of List-II.


- A (a)
- B (b)
- C (c)
- D (d)
Answer & Solution
Correct Answer
(A) (a)
Step-by-step Solution
Detailed explanation
\(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}, \mathbf{c}=3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\) (A) \(\mathbf{a}-\mathbf{b}=\hat{\mathbf{i}}+6 \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\) Then,…
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
- The shortest distance between the lines \(\mathbf{r}=3 \mathbf{i}+5 \mathbf{j}+7 \mathbf{k}+\lambda(\mathbf{i}+2 \mathbf{j}+\mathbf{k}) \quad\) and \(\mathbf{r}=-\mathbf{i}-\mathbf{j}-\mathbf{k}+\mu(7 \mathbf{i}-6 \mathbf{j}+\mathbf{k})\) isTS EAMCET 2013 Medium
- In \(\triangle A B C_1 r_1+r_2+r_3=\)TS EAMCET 2018 Easy
- A boy throws an unbiased die. Whenever he gets 1 on the die he has a further chance to throw it once again immediately. The probability that the boy gets a score of 7 in this process isTS EAMCET 2023 Medium
- The point where the line \(4 x-3 y+7=0\) touches the circle \(x^2+y^2-6 x+4 y-12=0\) isTS EAMCET 2016 Medium
- Among the 4-digit numbers that can be formed using the digits \(1,2,3,4,5,6\) without repeating any digit, the number of numbers which are divisible by 6 isTS EAMCET 2024 Easy
- \(\lim _{x \rightarrow 0} \frac{2 \sin x-\sin 2 x}{x^3}\) is equal toTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- If , thenTS EAMCET 2018 Hard
- For an ideal gas at a temperature of \(27^{\circ} \mathrm{C}\) and at constant pressure, the coefficient of volume expansion is nearlyTS EAMCET 2023 Easy
- A highway truck has two horns \(A\) and \(B\). When sounded together, the driver records 50 beats in 10 seconds. With horn \(B\) blowing and the truck moving towards a wall at a speed of \(10 \mathrm{~m} / \mathrm{s}\), the driver noticed a beat frequency of \(5 \mathrm{~Hz}\) with the echo. When frequency of \(A\) is decreased the beat frequency with two horns sounded together increases. Calculate the frequency of horn \(A\). (Speed of sound in air \(=330 \mathrm{~m} / \mathrm{s}\) )TS EAMCET 2019 Hard
- The wavelengths of two sound notes in air are \(\frac{40}{195} \mathrm{~m}\) and \(\frac{40}{193} \mathrm{~m}\). Each note produces 9 beats per second separately with a third note of fixed frequency. The velocity of sound in air in \(\mathrm{m} / \mathrm{s}\) isTS EAMCET 2011 Medium
- \((3,0,2)\) and \((0,2, k)\) are the direction ratios of two lines and \(\theta\) is the angle between them. If \(|\cos \theta|=\frac{6}{13}\), then \(k=\)TS EAMCET 2024 Easy
- Two lenses \(A\) and \(B\) having focal lengths \(2.0 \mathrm{~cm}\) and \(5.0 \mathrm{~cm}\), respectively are placed \(14 \mathrm{~cm}\) apart. Lens \(A\) is placed to the left of lens \(B\). An object is placed \(3 \mathrm{~cm}\) to the left of lens \(A\). The distance of the image from lens \(A\) will beTS EAMCET 2019 Medium