PBTE | DAE | MATH-123 APPLIED MATHEMATICS-I | MCQs | Chapter : 06 Vectors and Scalars

DAE MATH-123

Contents

1. Applied Mathematics-I
   1. Chapter 6 : Vectors and Scalars
   2. Multiple Choice Questions
   3. Chapter:06 (Vectors and Scalars)
   4. Question 1:
   5. Question 2:
   6. Question 3:
   7. Question 4:
   8. Question 5:
   9. Question 6:
   10. Question 7:
   11. Question 8:
   12. Question 9:
   13. Question 10:
2. Quiz Results

Applied Mathematics-I

Chapter 6 : Vectors and Scalars

DAE Common Technologies | First Year

Multiple Choice Questions

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Chapter:06 (Vectors and Scalars)

Question 1:

Magnitude of the vector $2i – 2j – k$ is:

4 3 2 1

Question 2:

Unit vector of $i + j + k$ is:

$i + j + k$ ${{\frac{1}{3}}(i + j + k)}$ ${{\frac{1}{\sqrt{3}}}(i + j + k)}$ ${{\frac{1}{2}}(i + j + k)}$

Question 3:

Unit vector of $i – 2j – 2k$ is:

$i – 2j – 2k$ ${{\frac{1}{3}}(i – 2j – 2k)}$ ${{\frac{1}{\sqrt{3}}}(i – 2j – 2k)}$ ${{\frac{1}{2}}(i – 2j – 2k)}$

Question 4:

If $\hat{i}$, $\hat{j}$ and $\hat{k}$ are orthogonal unit vectors, then j x i is:

k -k 1 -1

Question 5:

The magnitude of a vector $\hat{i}-3\hat{j}+5\hat{k}$ is:

$3$ $25$ $35$ $\sqrt{35}$

Question 6:

In l, m and n are direction cosine of a vector, then:

${l^2}-{m^2}-{n^2}=1$ ${l^2}-{m^2}+{n^2}=1$ ${l^2}+{m^2}-{n^2}=1$ ${l^2}+{m^2}+{n^2}=1$

Question 7:

If θ is the angle between the vector $\vec{a}$ and $\vec{b}$, then cos θ is:

$\vec{a}$.$\vec{b}$ $\frac{\vec{a}.\vec{b}}{|\vec{a}||\vec{b}|}$ $\frac{\vec{a}.\vec{b}}{|\vec{a}|}$ $\frac{\vec{a}.\vec{b}}{|\vec{b}|}$

Question 8:

If $\vec{a}$=${a_1}i+{a_2}j+{a_3}k$,$\vec{b}$=${b_1}i+{b_2}j+{b_3}k$, then $\vec{a}.\vec{b}$ is:

${a_1}{b_1}j+{a_2}{b_2}j+{a_3}{b_3}k$ ${a_1}{b_1}+{a_2}{b_2}+{a_3}{b_3}$ ${a_1}{b_2}j+{a_2}{b_3}j+{a_3}{b_1}k$ $None of these$

Question 9:

${\vec{a}}.{\vec{b}}=0$ implies that ${\vec{a}}$ and ${\vec{b}}$ are:

Perpendicular Parallel Non-parallel Oblique

Question 10:

If $\vec{a}$ = $i + j + k$ and $\vec{b}$ = $-i-j-mk$ are perndicular then m will be equal to:

$1$ $2$ ${\pm}1$ ${\pm}3$

Quiz Results

Total Questions:

Correct Answers:

Incorrect Answers:

Percentage:

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BSC ENGG. CIVIL