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- Question 3 & 4, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... ution==== Given $$\vec{r}=p\vec{a}+q\vec{b}.$$ We put the values of $\vec{r},\vec{a}$ and $\vec{b}$ in... ne &11q&=11\\ \end{array} \] $$\implies q=1$$ \\ Put the value of $q$ in (i). We have, $$p+5(1)=1 \qu
- Question 2 and 3 Exercise 3.3
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... \\ \Rightarrow|\vec{b}|&=\sqrt{29}\end{align} Now putting all these in (1) \begin{align}\cos \theta&=\... \\ \Rightarrow|\vec{b}|&=\sqrt{3}\end{align} Now putting all these in (1) \begin{align}\cos \theta&=\
- Question 3 Exercise 3.4
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... } \times \vec{b}|&=\sqrt{75}=5\sqrt{3}\end{align} Putting (2) and (3) in (1), we get\\ $$\hat{n}=\dfra... }|&=\sqrt{803} \ldots \ldots \ldots(3)\end{align} Pulting (2) and (3) in (1), we get\\ \begin{align}\h
- Question 7 & 8 Exercise 3.4
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... |\vec{a} \times \vec{b}|&=\sqrt{75} .\end{align} Putting in (1), we have \\ \begin{align}\hat{n}&=\df... \vec{a} \times \vec{b}|&=2 \sqrt{65} .\end{align} Putting in (1), we have\\ \begin{align}\hat{n}&=\dfr
- Question 5(iii) & 5(iv) Exercise 3.5
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... +2 a_2 a_3 b_2 b_3+2 a_1 a_3 b_1 b_3\end{align}\\ Putting (3) and (2) in (1), we get the desired that
- Question 6 & 7 Review Exercise 3
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... \times \vec{b}|=|\vec{a}||\vec{b}| \sin \theta$$. Putting the given in above, we get \begin{align}1&=\
- Question 8 & 9 Review Exercise 3
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB... vec{a} \times \vec{b}|&=\sqrt{49}= 7 .\end{align} Putting $|\vec{a} \times \vec{b}|=7$ in (1), we get\
- Question 1, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 2, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 5 & 6, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 7, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 7, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 9 & 10, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 11, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB
- Question 12, 13 & 14, Exercise 3.2
- unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB