DAE MATH-123

Applied Mathematics-I

Chapter 6 : Vectors and Scalars

DAE Common Technologies | First Year

Multiple Choice Questions

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:

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

NOTE
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INSTRUCTOR
MUHAMMAD BIN JAMEEL
BSC ENGG. CIVIL

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