AP EAMCET · Maths · Vector Algebra
If and then, the value of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given that, If a→=2i^+j^+3k^,b→=i^+3j^-k^ and c→=3i^-j^-2k^ ⇒a→·a→=14, b→·b→=11, c→·c→=14 and…
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 \((4,7)\) and \((-2,-1)\) are ends of a diameter of a circle which intersects \(X\)-axis at \(A\) and \(B\), then \(A B\) is equal toAP EAMCET 2021 Medium
- Let \([x]\) denote the largest integer \(\leq x\). If the number of solutions of \(\sin x \sqrt{4 \cos ^2 x}=\frac{2+x-[x]}{1-x+[x]}\) is \(k\), then for \(x \in\left[\frac{\pi}{4}, \frac{\pi}{3}\right]\), the value of \(k^{\tan ^2 x}\)AP EAMCET 2019 Medium
- If \(a x^2+b x+c < 0 \forall x \in \mathbb{R}\) and the expressions \(c x^2+a x+b\) and \(a x^2+b x+c\) have their extreme values at the same point \(x\), then for the expression \(c x^2+a x+b\)AP EAMCET 2025 Hard
- Let \(\hat{i}-\hat{j}+2 \hat{k}\) and \(\hat{i}+2 \hat{j}-2 \hat{k}\) be the position vectors of points \(\mathrm{A}\) and \(\mathrm{B}\) respectively. If \(\mathrm{C}\) is a point on the line joining \(\mathrm{A}\) and \(\mathrm{B}\) such that \(\mathrm{BC}=10\), then the position vector of \(\mathrm{C}\) can beAP EAMCET 2023 Easy
- If \(y=\operatorname{cosec}^{-1}(x)\) and \(\frac{d y}{d x}=\frac{-1}{|x| \sqrt{x^2-1}}\), thenAP EAMCET 2020 Medium
- The number of natural numbers less than 500 in which no two digits are repeated isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- A bomb moving with velocity \((40 \hat{\mathbf{i}}+50 \hat{\mathbf{j}}-25 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\) explodes into two pieces of mass ratio \(1: 4\). After explosion the smaller piece moves away with velocity \((200 \hat{\mathbf{i}}+70 \hat{\mathbf{j}}+15 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\). The velocity of larger piece after explosion isAP EAMCET 2010 Medium
- The half life of a radioactive substance is 10 minutes. If \(n_1\) and \(n_2\) are the number of atoms decayed in 20 and 30 minutes respectively, then \(\mathrm{n}_1: \mathrm{n}_2=\)AP EAMCET 2025 Medium
- If mass, speed and radius of the circular path of the particle are increased by \(100 \%\), then the necessary force required to maintain the circular path will have to be increased byAP EAMCET 2020 Medium
- A circle is drawn touching the \(X\)-axis, with its centre at the point of reflection of \((m, n)\) on the line \(y-x=0\). Then the equation of the circle isAP EAMCET 2020 Medium
- A body is projected at an angle of \(45^{\circ}\) from a point on the ground at a distance of \(30 \mathrm{~m}\) from the foot of a vertical pole of height \(20 \mathrm{~m}\). The body just crosses the top of the pole and strikes the ground at a distance \(s\) from the foot of the pole on the other side of the pole. Then, \(s\)AP EAMCET 2019 Hard
- If one of the lines given by the pair of lines \(3 x^2-2 y^2+a x y=0\) is making an angle \(60^{\circ}\) with x -axis then \(\mathrm{a}=\)AP EAMCET 2025 Medium