Home
Class 12
MATHS
For what value of lambda, is the vector ...

For what value of `lambda`, is the vector `2/3i-lambdaj+2/3k` a unit vector ?

Text Solution

Verified by Experts

The correct Answer is:
`pm1/3`
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - B|14 Videos

  • II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1

    SUNSTAR PUBLICATION|Exercise PART - C|14 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PEPER MARCH -17

    SUNSTAR PUBLICATION|Exercise PART -D|12 Videos

  • II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017

    SUNSTAR PUBLICATION|Exercise PART-E|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of lambda such that the vectors vec a = 2i + lambda j+ k, vec b = i + 2j +3k are orthogonal

The value of lambda for which the vectors 3i-6j+k and 2i-4j+lambda k are parallel is

The number of distinct real values of lambda for which the vectors -lambda^(2)i + j+ k , i- lambda^(2)j + k and i+j- lambda^(2)k are coplanar is

The vector 1/3 (2i-2j+k) is

Write the value of lambda so that the vectors vec(a) = 2hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 3hat(k) are perpendicular to each other ?

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.

For what value of 'a' the vectors 2hat(i) - 3hat(j) + 4hat(k) and ahat(i) + 6hat(j) - 8hat(k) are collinear ?

The value of p such that the vectors 2i-j+k, i+2j-3k and 3i-pj+5k are coplanar is

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 ) .