jee-main 2026 Q28

jee-main · India · session1_23jan_shift1 Vectors Introduction & 2D Dot Product Computation
For given vectors $\vec { a } = - \hat { i } + \hat { j } + 2 \hat { k }$ and $\vec { b } = 2 \hat { i } - \hat { j } + \hat { k }$ where $\vec { c } = \vec { a } \times \vec { b }$ and $\vec { d } = \vec { c } \times \vec { b }$. Then the value of $( \vec { a } - \vec { b } ) \cdot \vec { d }$ is:\ (A) 35\ (B) -35\ (C) 30\ (D) -30
For given vectors $\vec { a } = - \hat { i } + \hat { j } + 2 \hat { k }$ and $\vec { b } = 2 \hat { i } - \hat { j } + \hat { k }$ where $\vec { c } = \vec { a } \times \vec { b }$ and $\vec { d } = \vec { c } \times \vec { b }$. Then the value of $( \vec { a } - \vec { b } ) \cdot \vec { d }$ is:\
(A) 35\
(B) -35\
(C) 30\
(D) -30