Question
If $A=\left[\begin{array}{l}2 \\ 5\end{array}\right], B=\left[\begin{array}{l}1 \\ 4\end{array}\right]$ and $C=\left[\begin{array}{c}6 \\ -2\end{array}\right]$ Find $A + B - C$
✓
Answer
$A+B-C$
$=\left[\begin{array}{l}2 \\ 5\end{array}\right]-\left[\begin{array}{l}1 \\ 4\end{array}\right]-\left[\begin{array}{c}6 \\ -2\end{array}\right]$
$=\left[\begin{array}{l}2+1-6 \\ 5+4+2\end{array}\right]$
$=\left[\begin{array}{c}-3 \\ 11\end{array}\right]$
$=\left[\begin{array}{l}2 \\ 5\end{array}\right]-\left[\begin{array}{l}1 \\ 4\end{array}\right]-\left[\begin{array}{c}6 \\ -2\end{array}\right]$
$=\left[\begin{array}{l}2+1-6 \\ 5+4+2\end{array}\right]$
$=\left[\begin{array}{c}-3 \\ 11\end{array}\right]$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is: 5 of heart or diamond
Prove that
$(\sin A-\cos A)(1+\tan A+\cot A)=\frac{\sec A}{\operatorname{cosec} 2}-\frac{\operatorname{cosec} A}{\sec ^2 A}$
→$(\sin A-\cos A)(1+\tan A+\cot A)=\frac{\sec A}{\operatorname{cosec} 2}-\frac{\operatorname{cosec} A}{\sec ^2 A}$
Prove.$\sqrt{\frac{1-\sin A}{1+\sin A}}=\frac{\cos A}{1+\sin A}$
→Represent the following in-equalities on real number line :
−5 < × ≤ −1
Describe the locus for questions 1 to 13 given below:
The locus of the centre of a wheel of a bicycle going straight along a level road.
Prove. $\cot^2 A - \cos^2 A = \cos^2 A.\cot^2 A$
→If (a – x) : (b – x) be the duplicate ratio of a: b show that:
$\frac{1}{x}=\frac{1}{a}+\frac{1}{b}$
→$\frac{1}{x}=\frac{1}{a}+\frac{1}{b}$
In the figure, given below, find: ∠BCD, Show steps of your working .
If two coins are tossed once, what is the probability of getting : both heads
$A (5, x), B (-4, 3)$ and $C\ (y, -2)$ are the vertices of the $\triangle ABC$ whose centroid is the origin. Calculate the values of $x$ and $y.$
→