-77
-71
-53
-41
Correct answer is A
\(s = 3i - j; t = 2i + 3j\)
\( t - 3s = (2i + 3j) - 3(3i - j) = 2i + 3j - 9i + 3j = -7i + 6j\)
\(t + 3s = (2i + 3j) + 3(3i - j) = 2i + 3j + 9i - 3j = 11i\)
\((t - 3s).(t + 3s) = (-7i + 6j).(11i) = -77\)
A binary operation \(\Delta\) is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}...
\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\alpha + \bet...
The radius of a sphere is increasing at a rate \(3cm s^{-1}\). Find the rate of increase in the surf...
Marks 2 3 4 5 6 7 8 No of students 5 7 9 6 3 6 4 The table above sho...
Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 9) internally in ...
Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9. ...
The marks obtained by 10 students in a test are as follows: 3, 7, 6, 2, 8, 5, 9, 1, 4 and 10. Find t...
How many numbers greater than 200 can be formed from the digits 1,2,3,4, 5 if no digit is to be repe...
Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?...
If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q....
Spatial Reasoning Questions and Answers
Microsoft Office Questions and Answers
Abstract Reasoning Questions and Answers
Typing Speed and Accuracy Test
Quantitative Reasoning Questions and Answers
Data Interpretation Questions and Answers
Numerical Reasoning Questions and Answers
Nigeria General Knowledge Questions and Answers
Puzzles Questions and Answers
Situational Judgement Questions and Answers
Verbal Reasoning Questions and Answers
Personality Test
Logical Reasoning Questions and Answers
See all →