Home
Class 12
MATHS
The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are `vec a = 3 hat i + lambda hat j + 4 hat k` and `vec b = hat i - lambda hat j + hat k`
(i) Find `vec a xx vec b`
(ii) If the area of the paralleogram is `sqrt 42` square units, find the value of `lambda`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `5 lambda hat i + hat j - 4 lambda hat k`
(ii) `lambda = pm1`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1|4 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 hat k , then vec a + vec b and vec a - vec b are

Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 hat i - 3 hat j + 2 hat k .

Find the area of a parallelogram whose adjacent sides are vec a = hat i + 2 hat j + 3 hat k and vec b = - 3 hat i - 2 hat j + hat k .

Find |vec a xx vec b| if vec a = 2 hat i - hat j + 3 hat k and vec b = 3 hat i - 5 hat j + 2 hat k .

Find |vec a xx vec b| if vec a = hat i -7 hat j + 7 hat k and vec b = 3 hat i - 2 hat j + 2 hat k .

Find vec a. vec b , when vec a = hat i + hat j + 2 hat k and vec b = 3 hat i + 2 hat j - hat k .

Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat i - hat j - hat k . (i) Find vec a.vec b (ii) Find the angle between vec a and vec b .

Find the area a parallelogram whose diagonals are vec a=3 hat i+ hat j-2 hat ka n d vec b= hat i-3 hat j+4 hat kdot

Find |vec a × vec b| , if vec a = hat i -7 hat j + 7 hat k and vec b = 3 hat i -2 hat j + 2 hat k

Find vec a . vec b , When vec a = hat i + hat j - 2 hat k and vec b = 3 hat i +2 hat j + hat k