DAE MATH-113

Applied Mathematics-I

Chapter 8 : Vectors and Scalars

DAE Common Technologies | First Year

Multiple Choice Questions

Chapter:08 (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 5:

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

\(3\) \(25\) \(35\) \(\sqrt{35}\)

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:

\(1\) \(2\) \({\pm}1\) \({\pm}3\)

Question 13:

If \(\vec{a}\) = \(2i-3j+k\) and \(\vec{b}\) = \(-i+2j+7k\) then \(\vec{a}\).\(\vec{b}\) is equal to:

-1 -2 -3 -4

Question 14:

If \(\vec{a}\) x \(\vec{b}\)=0 then \(\vec{a}\) and \(\vec{b}\) is:

Non-parallel Parallel Perpendicular None of these

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

PBTE | DAE | MATH-113 APPLIED MATHEMATICS-I | MCQs | Chapter : 08 Vectors and Scalars