Question

Let a=i-k, b=xi+j+(1-x)k, c=yi+xj+(1+x-y)k. Then [ a, b, c] depends on:

• A. only y
• B. only x
• C. both x and y
• D. neither x nor y

Hint:

Check cancellation in determinants before concluding dependence.

Answer 1

The Correct Option is D

Step 1: Compute scalar triple product as determinant.
Step 2: On expansion, all x,y terms cancel, leaving a constant.