Question

Given below are two statements:
Statement I: Three points with position vectors $\vec{a},\vec{b},\vec{c}$ are collinear if there exists scalars x,y,z not all zero such that $x\vec{a} + y\vec{b} + z\vec{c} = 0$, where x+y+z=0.
Statement II: Scalar product and vector product are both commutative.
In the light of the above Statements, choose the most appropriate answer from the options given below :

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but statement II is incorrect
• D. Statement I is incorrect but statement II is correct

Answer 1

Answer: (B)

Both Statement I and Statement II are incorrect

Answer 2

The correct answer is(B): Both Statement I and Statement II are incorrect