Vector Algebra · JEE Main previous year questions

2017 3 questions

1. Q22017 · 9 Apr 2017 · Shift 1

   The sum of all the real values of x satisfying the equation $2^{(x-1)(x^2+5x-50)}=1$ is :

   1. A.$16$
   2. B.$14$
   3. C.$-4$
   4. D.$-5$
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   Answer: C

2. Q172017 · 9 Apr 2017 · Shift 1

   If the vector $\vec{b}=3\hat{j}+4\hat{k}$ is written as the sum of a vector ${\vec{b}}_1$, parallel to $\vec{a}=\hat{i}+\hat{j}$ and a vector ${\vec{b}}_2$, perpendicular to $\vec{a}$, then ${\vec{b}}_1\times {\vec{b}}_2$ is equal to :

   1. A.$-3\hat{i}+3\hat{j}-9\hat{k}$
   2. B.$6\hat{i}-6\hat{j}+\frac{9}{2}\hat{k}$
   3. C.$-6\hat{i}+6\hat{j}-\frac{9}{2}\hat{k}$
   4. D.$3\hat{i}-3\hat{j}+9\hat{k}$
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   Answer: B

3. Q192017 · 8 Apr 2017 · Shift 1

   The area (in sq. units) of the parallelogram whose diagonals are along the vectors $8\hat{i}-6\hat{j}$ and $3\hat{i}+4\hat{j}-12\hat{k}$, is :

   1. A.$26$
   2. B.$65$
   3. C.$20$
   4. D.$52$
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   Answer: B