Page 212 - Math Grade 11 (Advance)

PROEUS DARA

"" --7 7 --7 7 0 ""
2. m AB =a , AC = b rtlUlhtSUHnltlJl ABC
1

77-7 777-7
(1) u·(v+w) = u·v+u·w
77-> 7-77-7
(2) (u+v)·w = u·w+v·w
(3) it· (mt) = m(ft · t)
(4) (mft)·t = m(it·t)

( 1) . t·(t+it) = t·t+it·it
hlS~ctln~HttltStS~ug~ &, t Sb it ~
~ u 1
t = (u , u , u ) , t = (v , v , v ) , it= (w , w , w )
1
3
3
2
3
2
2
1
1
tSlg t+it = (v +w , v +w , v +w )
1 1 2 2 3 3
7 7 7 -7
= u·v+u·w
77-7 7-77-7
(2). (u+v)·w = u·w+v·w

7 -7 7 -7
= u·w+v·w
7 7 7 7
(3). u·(mv) = m(u·v)
tttlru t = (u , u , u ) tSlg mt = (mv , mv , mv )
1 2 3 1 2 3
t?iQlS t(mt) = (u mv + u mv + u mv )
1 1 2 2 3 3

= m(u v + u v + u v )
1 1 2 2 3 3
=m(t·t)

7
7
( 7
7
(4). <) el<.) ( mu) · v = m u · v)
t:tGfiltw~ t?iQlS
u ct
207