Learning Materials
Features
Discover
Chapter 17: Problem 1603
two non zero vectors cross product is zero. Then vectors are (a) coplanar (b) equal vectors (c) origin at one point (d) same ending point
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
find the number of vectors in \(\mathrm{R}^{3}\) such the angle between X-axis and vectors are \((\pi / 3)\) (a) 1 (b) 2 (c) 4 (d) infinite times
\(\underline{a}=(1 / \sqrt{1} 0)(3 \underline{i}+\underline{k}) \underline{b}=(1 / 7)(2 \underline{i}+3 j-6 \underline{k})\) evaluate \((2 \underline{\mathrm{a}}-\underline{\mathrm{b}}) \cdot[(\underline{\mathrm{a}} \times \underline{\mathrm{b}}) \times(\underline{\mathrm{a}}+2 \underline{\mathrm{b}})]\) (a) \(-3\) (b) 5 (c) 3 (d) \(-5\)
\(\triangle \mathrm{ABC}\) side \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) position vectors are \(\underline{\mathrm{a}}, \underline{\mathrm{b}}\) and \(\underline{\mathrm{c}}\) find the length of line segment from \(\mathrm{A}\) to \(\underline{\mathrm{BC}}\). (a) \([(\underline{\mathrm{b}} \times \underline{\mathrm{c}}) /(\underline{\mathrm{b}}-\underline{\mathrm{c}})]\) (b) \([(|\underline{\mathbf{c}} \times \underline{\mathbf{a}}|) /(|\underline{\mathbf{c}}-\underline{\mathrm{a}}|)]\) (c) \([(|\underline{a} \times \underline{b}+\underline{b} \times \underline{c}+\underline{c} \times \underline{a}|) /(|\underline{b}-\underline{c}|)]\) (d) \([(\mid \underline{\mathrm{a}} \times \underline{\mathrm{b}}+\underline{\mathrm{b}} \times \underline{\mathrm{c}}+\underline{\mathrm{c}} \times \underline{\mathrm{a}}) /(|\underline{\mathrm{b}}+\underline{\mathrm{c}}|)]\)
if \(\underline{a}+m \underline{b}+3 \underline{c},-2 \underline{a}+3 \underline{b}-4 \underline{c}\) and \(\underline{a}-3 \underline{b}-5 \underline{c}\) are coplanar. \(\mathrm{m}=\) (a) 2 (b) \(-1\) (c) 1 (d) \(-(9 / 7)\)
\((1 / \mathrm{c}),(1 / \mathrm{c}),(1 / \mathrm{c})\) is direction cosine of the line then the value of \(\mathrm{c}=\) (a) \(\pm(\overline{1 / 3)}\) (b) \(\pm 3\) (c) \(\pm(1 / \sqrt{3})\) (d) \(\pm \sqrt{3}\)
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App