AP EAMCET · Maths · Vector Algebra
If and are two vectors such that and and are perpendicular, where is a positive scalar, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
We know that, Dot product of perpendicular vectors is zero. ∴a→+tb→·a→-tb→=0 ⇒a→2-ta→·b→+tb→·a-t2b→2=0 ⇒a→2-t2b→2=0 ⇒4-9t2=0 ⇒t2=49 ⇒t=±23 But given that t…
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
- Three squares of a chessboard are selected at random. The probability of selecting two squares of one colour and the other of a different colour is equal toAP EAMCET 2020 Easy
- The direction cosines of the line joining the points and areAP EAMCET 2021 Easy
- If a function \(f\) is differentiable on \(\mathbb{R}\) such that \(f^{\prime}(x) \leq 4\) for all \(x \in \mathbb{R}\); and if \(f(2)=-6\) and \(f(6)=8\), then the value of \(f(4)\) belongs to the intervalAP EAMCET 2018 Medium
- Let \(M\) and \(m\) respectively denote the maximum and the minimum values of \([f(\theta)]^2\), where \(f(\theta)=\sqrt{a^2 \cos ^2 \theta+b^2 \sin ^2 \theta}\) \(+\sqrt{a^2 \sin ^2 \theta+b^2 \cos ^2 \theta}\). Then \(M-m=\)AP EAMCET 2019 Medium
- If a circle with radius 2.5 units passes through the points \((2,3)\) and \((5,7)\), then its centre isAP EAMCET 2017 Medium
- If the equation \(2 x^2+k x y-6 y^2+3 x+y+1=0\), \((k>0)\) represents a pair of straight lines, then their point of intersection isAP EAMCET 2021 Medium
More PYQs from AP EAMCET
- If the curved surface area of right circular cylinder inscribed in a sphere of radius is maximum then height of the cylinder will beAP EAMCET 2020 Medium
- AP EAMCET 2021 Easy
- A bead of mass \(100 \mathrm{~g}\) is attached to one end of a spring of natural length \(L\) and spring constant \(k=\frac{(\sqrt{3}+1) m g}{L}\), where \(m\) is the mass of bead. The other end of the spring is fixed at point \(A\) on a smooth vertical ring of radius \(R\) as shown in the figure. The normal reaction at \(B\) just after it is released to move is (take, \(g=9.8 \mathrm{~ms}^{-2}\) )
AP EAMCET 2018 Hard - \(\int e^x \frac{x^2+1}{(x+1)^2} d x\) is equal toAP EAMCET 2015 Hard
- If \(a, b\) and \(c\) are the roots of \(x^3+q x+r=0\), then \((a-b)^2+(b-c)^2+(c-a)^2=\)AP EAMCET 2018 Medium
- The condition that \(x^3-p x^2+q x-r=0\) may have two of its roots equal to each other but of opposite sign isAP EAMCET 2021 Medium