Chapter 10: Q77E (page 591)
Find f’(2),where f(t)=u(t).v(t), \(u(2) = \left\langle {1,2, - 1} \right\rangle \)and \(u'(2) = \left\langle {3,0,4} \right\rangle \) \(v(t) = \left\langle {t,{t^2},{t^3}} \right\rangle \)
\(f'(2) = 35\)
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
To find the values of \(x\).
(a) Examine if\(a \cdot b = a \cdot c\), does it follow that\(b = c\).
(b) Examine if\(a \times b = a \times c\), does it follow that\(b = c\).
(c) Examine if\(a \cdot b = a \cdot c\)and\(a \times b = a \times c\), does it follow that\(b = c\).
To find: The volume of the parallelepiped determined by the vectors a, b and c.
To determine whether the given vectors are orthogonal, parallel, or neither.
(a) For vector\({\rm{a}} = \langle - 5,3,7\rangle \)and\({\rm{b}} = \langle 6, - 8,2\rangle \)
(b) For vector\(a = \langle 4,6\rangle \)and\(b = \langle - 3,2\rangle \)
(c) For vector\({\bf{a}} = - {\bf{i}} + 2{\bf{j}} + 5{\bf{k}}\)and\({\bf{b}} = - 3{\bf{i}} + 4{\bf{j}} - {\bf{k}}\)
(d) For vector\({\bf{a}} = 2{\bf{i}} + 6{\bf{j}} - 4{\bf{k}}\)and\({\bf{b}} = - 3{\bf{i}} - 9{\bf{j}} + 6{\bf{k}}\)
To determine whether the triangle with vertices is right-angled.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
