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Vector Algebra · 2003 · Shift 0

7 Mathematics questions from this JEE Main paper

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JEE Main
Papers
2003 · Shift 0
Mathematics
Vector Algebra

Vector Algebra · 2003 · Shift 0

7 Mathematics questions from this JEE Main paper

Q89.If $a \times b = b \times c = c \times a$ then $a + b + c =$
Mathematics · Vector Algebra · MCQ
Q90.Let $u = i + j, v = i - j$ and $w = i + 2 j + 3 k .$ If $n$ is a unit vector such that $u . n = 0$ …
Mathematics · Vector Algebra · MCQ
Q91.The vectors $A B = 3 i + 4 k & A C = 5 i - 2 j + 4 k$ are the sides of triangle $A B C .$ The length of the median through $A$ is :
Mathematics · Vector Algebra · MCQ
Q94. $a, b, c$ are $3$ vectors, such that $a + b + c = 0$ , $a = 1 b = 2, c = 3,$ …
Mathematics · Vector Algebra · MCQ
Q95.A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3)$ and $C (- 1, 1, 2) .$ Then the angle between the faces $O A B$ and $A B C$ will be :
Mathematics · Vector Algebra · MCQ
Q96.If $a b c a^{2} b^{2} c^{2} 1 + a^{3} 1 + b^{3} 1 + c^{3} = 0$ and vectors $(1, a, a^{2}), (1, b, b^{2})$ …
Mathematics · Vector Algebra · MCQ
Q97.Consider points $A, B, C$ and $D$ with position vectors $7 i - 4 j + 7 k, i - 6 j + 10 k, - i - 3 j + 4 k$ and $5 i - j + 5 k$ …
Mathematics · Vector Algebra · MCQ