यदि `bar(a),bar(b),bar(c)` असमतलीय सदिश हों, तो दर्शाइए कि निम्नलिखित सदिश समतलीय hain :
`5bar(a)+6bar(b)+7bar(c),7bar(a)-8bar(b)+9bar(c),3bar(a)+20bar(b)+5bar(c).`

(bar(a)+2bar(b)-bar(c))*(bar(a)-bar(b))xx(bar(a)-bar(bar(c)))=

If [bar(a)+2bar(b)2bar(b)+bar(c)5bar(c)+bar(a)]=k[bar(a)bar(b)bar(c)]

The points 2bar(a)+3bar(b)+bar(c), bar(a)+bar(b), 6bar(a)+11bar(b)+5bar(c) are

([[bar(a),bar(b),bar(c)]])/([[bar(b),bar(a),bar(c)]]) =

Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[bar(a)bar(b)bar(c )] .

If bar(a)+2bar(b)+3bar(c)=bar(0) then bar(a)xxbar(b)+bar(b)xxbar(c)+bar(c)xxbar(a)=

If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9bar(j)" then "bar(c)=

If bar(c)=3bar(a)-2bar(b) , then prove that [bar(a)bar(b)bar(c)]=0 .

If volume of parallelopiped determined by bar(a),bar(b),bar(c) is 5, then the volume of parallelopiped determined by 2bar(a)+bar(b)+2bar(c),bar(a)-bar(b)-2bar(c),3bar(a)+bar(b)-6bar(c)