AP EAMCET · Maths · Vector Algebra
Let \(u\) and \(v\) be two vectors. Then \(|u-v|=|| u|-| v||\) if and only if
- A \(|u|=|v|\)
- B \(u\) and \(v\) have the same direction
- C \(u\) and \(v\) have the opposite direction
- D \(u=v\)
Answer & Solution
Correct Answer
(B) \(u\) and \(v\) have the same direction
Step-by-step Solution
Detailed explanation
Since, \(|u-v|^2=|u|^2+|v|^2-2 \vec{u} \cdot \vec{v}\) and \(\| u|-| v||^2=|u|^2+|v|^2-2|\vec{u}||\vec{v}|\) Now, \(|u-v|^2=\left.|| u|-| v\right|^2\) only, when It only happens when \(u\) and \(v\) have same direction.…
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 quadrilateral formed by the pairs of line \(x y+x+y+1=0, x y+3 x+3 y+9=0\) isAP EAMCET 2020 Medium
- A random variable \(\mathrm{X}\) takes the values 0,1 and 2. If \(P(X=1)=P(X=2)\) and \(P(X=0)=0.4\), then the mean of the random variable \(\mathrm{X}\) isAP EAMCET 2002 Medium
- The number of integers between 10 and 10,000 such that in every integer every digit is greater than its immediate preceeding digit, isAP EAMCET 2025 Hard
- The sum of angles of elevation of the top of a tower from two points distant \(a\) and \(b\) from the base and in the same straight line with it is \(90^{\circ}\). Then, the height of the tower isAP EAMCET 2010 Medium
- A plane \(\pi\) is passing through the points \(\mathrm{A}(1,-2,3)\) and \(\mathrm{B}(6,4,5)\). If the plane \(\pi\) is perpendicular the plane \(3 x-y+z=2\), then the perpendicular distance from \((0,0,0)\) to the plane \(\pi\) isAP EAMCET 2025 Medium
- A line L passing through the point \(\mathrm{P}(-5,-4)\) cuts the line \(x-y-5=0\) and \(x+3 y+2=0\) respectively at Q and R such that \(\frac{18}{P Q}+\frac{15}{P R}=2\), then slope of the line \(L\) isAP EAMCET 2024 Hard
More PYQs from AP EAMCET
- Identify the pair of molecules in which the central atom has same hybridizationAP EAMCET 2017 Easy
- What is ' \(Z\) ' in the following reaction sequence ?
\(\mathrm{C}_3 \mathrm{H}_6 \xrightarrow[\mathrm{CCl}_4]{\mathrm{Br}_2} \underset{\text { (colourless) }}{\mathrm{X}} \xrightarrow[\text { (ii) } \mathrm{NaNH}_2, \Delta]{\text { (i) } \mathrm{KOH} / \text { alcohol }} \mathrm{Y} \xrightarrow[\substack{\mathrm{Hg}^{2+}, \mathrm{H}^{+} \\ 333 \mathrm{~K}}]{\mathrm{H}_2 \mathrm{O}} \mathrm{Z}\)AP EAMCET 2025 Medium - In the reaction of phosphorous with conc. , the oxidized and reduced products respectively areAP EAMCET 2022 Medium
- A body starts from rest with uniform acceleration and its velocity at a time of ' n ' seconds is ' \(v\) '. The total displacement of the body in the \(n^{\text {th }}\) and \((n-1)^{\text {th }}\) seconds of its motion isAP EAMCET 2025 Medium
- Which one of the following reactions does not occur?AP EAMCET 2008 Medium
- If \(8 \cdot{ }^7 P_r=7 \cdot{ }^8 P_{r-1}\), what is the value of \(r\) ?AP EAMCET 2021 Easy