AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) and \(\mathbf{r}\) are vectors such that \(\mathbf{a}\) is not perpendicular to \(\mathbf{b} \cdot \mathbf{r} \times \mathbf{b}=\mathbf{c} \times \mathbf{b}\) and \(\mathbf{r} \cdot \mathbf{a}=\mathbf{0}\) then \(\mathbf{r}=\)
- A \(\mathbf{c}+\frac{(\mathbf{c} \cdot \mathbf{a})}{(\mathbf{b} \cdot \mathbf{a})} \mathbf{b}\)
- B \(\mathbf{b}-\frac{(\mathbf{c} \cdot \mathbf{a})}{(\mathbf{b} \cdot \mathbf{a})} \mathbf{c}\)
- C \(\mathbf{c}-\frac{(\mathbf{c} \cdot \mathbf{a})}{(\mathbf{b} \cdot \mathbf{a})} \mathbf{b}\)
- D \(\mathbf{b}+\frac{(\mathbf{c} \cdot \mathbf{a})}{(\mathbf{b} \cdot \mathbf{a})} \mathbf{c}\)
Answer & Solution
Correct Answer
(C) \(\mathbf{c}-\frac{(\mathbf{c} \cdot \mathbf{a})}{(\mathbf{b} \cdot \mathbf{a})} \mathbf{b}\)
Step-by-step Solution
Detailed explanation
Given,…
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 equation \(x^2-2 \sqrt{3} x+2=0\) represents two sides of a triangle. If the angle between them is \(\frac{\pi}{3}\), then the perimeter of that triangle isAP EAMCET 2017 Hard
- If a point \((a, a)\) falls between the lines \(|x+y|=4\), thenAP EAMCET 2021 Easy
- The real valued function defined on isAP EAMCET 2021 Easy
- The product of the lengths of the perpendiculars drawn from the point \((-1,5)\) to the pair of lines \(2 x^2-x y-3 y^2+6 x+y+4=0\) isAP EAMCET 2018 Easy
- The combined equation of two lines \(L\) and \(L_1\) is \(2 x^2+a x y+3 y^2=0\) and the combined equation of two lines \(L\) and \(L_2\) is \(2 x^2+b x y-3 y^2=0\). If \(L_1\) and \(L_2\) are perpendicular, then \(a^2+b^2=\)AP EAMCET 2019 Medium
- The number of points \(P(x, y)\) with natural numbers as coordinates that lie inside the quadrilateral formed by the lines \(2 x+y=2\), \(x=0, y=0\) and \(x+y=5\) isAP EAMCET 2011 Medium
More PYQs from AP EAMCET
- The null point of a potentiometer with a cell of emf \(\varepsilon\) is obtained at a distance \(l\) on the wire, thenAP EAMCET 2021 Easy
- The curve \(3 y^2=2 a x^2+6 b\) passes through the point \(P(3,-1)\) and the gradient of the curve at \(P\) is " -1 ", then the values of \(a\) and \(b\) areAP EAMCET 2020 Easy
- If a set \(A\) has 5 elements, then the number of ways of selecting two subsets \(P\) and \(Q\) from \(A\) such that \(P\) and \(Q\) are mutually disjoint, isAP EAMCET 2016 Easy
- If thenAP EAMCET 2018 Medium
- In a triangle \(A B C\), if \(A, B, C\) are in arithmetic progression and \(\cos A+\cos B+\cos C=\frac{1+\sqrt{2}+\sqrt{3}}{2 \sqrt{2}}\), then \(\tan A=\)AP EAMCET 2024 Easy
- If \(\int \frac{3 x+1}{(x-1)^3(x+1)} d x=\mathrm{A} \cdot \log \left|\frac{x+1}{x-1}\right|+\frac{\mathrm{B}}{x-1}+\frac{\mathrm{C}}{(x-1)^2}+\mathrm{D}\) then \(\mathrm{A}+\mathrm{B}+\mathrm{C}=\)AP EAMCET 2018 Medium