engineering recuitment NIMCET Previous Year Papers Mock Test Mathematics Vector Algebra Scalar and Vector Product
If \(\rm \vec{a},\vec{b},\vec{c},\vec{d}\) are four vectors such that \(\rm \vec{a}+\vec{b}+\vec{c}\) is collinear with \(\rm \vec d\) and \(\rm \vec{b}+\vec{c}+\vec{d}\) is collinear with \(\rm \vec{a}\), then \(\rm \vec{a}+\vec{b}+\vec{c}+\vec{d}\) is
1
\(\rm \vec{0}\)
2
collinear with \(\rm \vec{a}+\vec{d}\)
3
collinear with \(\rm \vec{a}-\vec{d}\)
4
Both Option 2 and 3 are correct