Home
Class 12
MATHS
Find lambda if the vectors overset(to)(a...

Find `lambda` if the vectors `overset(to)(a) = hat(i) +3 hat(j) + hat(k) , overset(to)(b) = 2hat(i) - hat(j) - hat(k) and overset(to) (c ) = lambda hat(i) + 7 hat(j) + 3 hat(k)` are coplanar

Text Solution

Verified by Experts

The correct Answer is:
`lambda=0`
Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - D (Answer any six questions)|12 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one question).|4 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART B (Answer any Ten Questions)|14 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

Find angle between the vectors overset(to)(a) = hat(i) + hat(j) - hat(k) and overset(to)(b) = hat(i) + hat(j) + hat(k)

Find the angle between the vectors vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(i) - hat(j) + hat(k) .

The scalar product of the vector vec(a) = hat(i) + hat(j) + hat(k) with a unit vector along the sum of vectors vec(b) = 2hat(i) + 4hat(j) - 5hat(k) and vec(c ) = lambda hat(i) + 2hat(j) + 3hat(k) is equal to one. Find the value of lambda and hence find the unit vector along vec(b) + vec(c ) .

Find the distance between the lines overset(to)(r ) = hat(i) + 2 hat(j) - 4 hat(k) + lambda ( 2 hat(i) + 3 hat(j) + 6 hat(j) ) & overset(to)(r ) = 3 hat(i) + 3 hat(j) - 5 hat(k) + mu ( -2 hat(i) + 3 hat(j) + 8 hat(k) )

Find 'lambda' when the projection of vec(a) = lambda hat(i) + hat(j) + 4hat(k) on vec(b) = 2hat(i) + 6hat(j) + 3hat(k) is 4 units.

Show that the vectors bar(a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and bar(b) = -4 hat(i) + 6 hat(j) - 8k are collinear.

Obtain the projection of the vector vec(a) = 2hat(i) + 3hat(j) + 2hat(k) on the vector vec(b) = hat(i) + 2hat(j) + hat(k) .

Write the projection of vec(b) + vec(c ) on vec(a) , where vec(a) = 2hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) + 2hat(j) - 2hat(k) and vec(c ) = 2hat(i) - hat(j) + 4hat(k) .

If vec(AB) = 3hat(i) + 2hat(j) + 6hat(k), vec(OA) = hat(i) - hat(j) - 3hat(k) , find the value of vec(OB) .

Find the value of lambda if the vectors vec(a) = 3hat(i) + hat(j) - 2hat(k) and vec(b) = hat(i) + lambda hat(j) - 3hat(k) are perpendicular to each other.