if a and b are unit vectors inclined at an angle "X" to each other and |a×b|<1, what is the range of angle 'x'?

Asked by Malavika Umesh | 3rd May, 2015, 09:45: PM

Expert Answer:

open vertical bar a with rightwards arrow on top cross times b with rightwards arrow on top close vertical bar less than 1 rightwards double arrow open vertical bar a with rightwards arrow on top close vertical bar open vertical bar b with rightwards arrow on top close vertical bar open vertical bar sin X close vertical bar less than 1 rightwards double arrow 1 cross times 1 cross times open vertical bar sin X close vertical bar less than 1 space.... open parentheses because a with rightwards arrow on top space a n d space b with rightwards arrow on top space a r e space u n i t space v e c t o r s. close parentheses rightwards double arrow open vertical bar sin X close vertical bar less than 1 rightwards double arrow X element of open square brackets 0 comma straight pi close square brackets minus open curly brackets straight pi over 2 close curly brackets

Answered by satyajit samal | 4th May, 2015, 01:25: PM