Home
Class 12
MATHS
If bar(a)bar(b)bar(c ) and bar(d) are ve...

If `bar(a)bar(b)bar(c ) and bar(d)` are vectors such that `bar(a) xx bar(b) = bar(c ) xx bar(d) and bar(a) xx bar(c ) = bar(b)xxbar(d)`. Then show that the vectors `bar(a) - bar(d)` and `bar(b) -bar(c )` are parallel.

Text Solution

Verified by Experts

The correct Answer is:
`:.bara-bard" and "barb-barc` are parallel vectors.
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|15 Videos

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise 2 D (VSAQ, SAQ,LAQ)|26 Videos

  • PRACTICE MODEL PAPER-8

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

Similar Questions

Explore conceptually related problems

If bar(a).bar(b) = bar(a).bar(c ) and bar(a) xx bar(b) = bar(a) xx bar(c ), bar(a) != 0 , then show that bar(b) = bar(c ) .

If |bar(a) xx bar(b)|= bar(a).bar(b) , then find the angle between the vectors bar(a) and bar(b) .

Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + bar(c ) xx (bar(a)+bar(b))

If bar(a)+bar(b)+bar(c)=bar(0) then prove that bar(a)xxbar(b)=bar(b)xxbar(c)=bar(c)xxbar(a) .

If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0 , then show that bar(a) + bar(c ) = bar(p)bar(b) , where p is some scalar.

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

Let bar(a), bar(b), bar(c ) be unit vectors, suppose that bar(a). bar(b) = bar(a). bar(c )= 0 and the angle between bar(b) and bar(c ) is pi//6 then show that bar(a)= +-2 (bar(b) xx bar( c))