Course Code
mth103
Question
If i.i = 1, then i.j = …
Answer
\(-1\)
Question
if \(a=a_{1}i+a_{2}j+a_{3}k\) and \(b=b_{1}i+b_{2}j+b_{3}k\) find a.b
Answer
\(a_{1}b_{1}+a_{2}b_{2}+a_{3}b_{3}\)
Question
When two vectors are at right angles to each other the dot product is ?
Answer
Zero
Question
If a=10, b=13 and the angle between a and b is 59.5 degree, what is the scalar product of a and b
Answer
65.98
Question
Find l,m,n of the vector \(r = 2i + 4j − 3k\)
Answer
\(2\sqrt{29}, 4\sqrt{29}, -3\sqrt{29}\)
Question
____ is the component contributions of the basis to the unit vector
Answer
Direction Cosines
Question
____ in analytic geometry of vector are the cosines of angles between the vector and the three coordinate axes
Answer
Direction Cosines
Question
___ is a vector as a way of determining the magnitude and direction in its coordinate of x and y axis
Answer
Component of a vector in terms of unit vector
Question
In triangle ABC, the points L, M, N are the midpoints of the sides AB, BC and CA respectively. Which these expressions is true?
Answer
\(\overline{2AB}+\overline{3BC}+\overline{AC}=2\overline{LC}\)
Question
ABCD is a square (quadrilateral) with T and U the mid points of SP and QR respectively. Which expressions is true?
Answer
PQ+RS =2TU
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