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- Question 1, Exercise 3.2
- Question 2, Exercise 3.2
- Question 3 & 4, Exercise 3.2
- Question 5 & 6, Exercise 3.2
- Question 7, Exercise 3.2
- Question 7, Exercise 3.2
- Question 9 & 10, Exercise 3.2
- Question 11, Exercise 3.2
- Question 12, 13 & 14, Exercise 3.2
- Question 1, Exercise 3.3
- Question 2 and 3 Exercise 3.3
- Question 4 and 5 Exercise 3.3
- Question 6 Exercise 3.3
- Question 7 & 8 Exercise 3.3
- Question 9 & 10, Exercise 3.3
- Question 11, Exercise 3.3
- Question 12 & 13, Exercise 3.3
- Question 1 Exercise 3.4
- Question 2 Exercise 3.4
- Question 3 Exercise 3.4
- Question 4 Exercise 3.4
- Question 5 Exercise 3.4
- Question 6 Exercise 3.4
- Question 7 & 8 Exercise 3.4
- Question 9 Exercise 3.4
- Question 1 & 2 Exercise 3.5
- Question 3 & 4 Exercise 3.5
- Question 5(i) & 5(ii) Exercise 3.5
- Question 5(iii) & 5(iv) Exercise 3.5
- Question 6 Exercise 3.5
- Question 7 Exercise 3.5
- Question 8 Exercise 3.5
- Question 9 Exercise 3.5
- Question 1 Review Exercise 3
- Question 2 & 3 Review Exercise 3
- Question 4 & 5 Review Exercise 3
- Question 6 & 7 Review Exercise 3
- Question 8 & 9 Review Exercise 3
- Question 10 Review Exercise 3
Fulltext results:
- Question 2, Exercise 3.2
- ====== Solutions of Question 2 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... Peshawar, Pakistan. =====Question 2(i)===== Find unit vector having the same direction as the vector $3... frac{3\hat{i}}{3}=\hat{i}$$ This is the required unit vector. =====Question 2(ii)===== Find unit vect
- Question 3 Exercise 3.4
- ====== Solutions of Question 3 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... shawar, Pakistan. =====Question 3(i)===== Find a unit vector that is orthogonal to the given vector $\v... at{j}-\hat{k}$. ====Solution==== Let $\hat{n}$ be unit vector orthogonal to both $\vec{a}$ and $\vec{b}$
- Question 7 & 8 Exercise 3.4
- == Solutions of Question 7 & 8 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... } \text {. }$$\\ =====Question 8 (i)===== Find a unit vector perpendicular to both $\vec{a}=\hat{i}+\ha... j}-3 \hat{k}$\\ ====Solution==== Let $\hat{n}$ be unit vector perpendicular to both $\vec{a}$ and $\vec{
- Question 5 & 6, Exercise 3.2
- == Solutions of Question 5 & 6 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... $\vec{A}(-3,5)$ to $\vec{B}(7,9)$. Also find the unit vector in the direction of $\overrightarrow{AB}$.... rt{116} = 2\sqrt{29}.\end{align} Let $\hat{r}$ be unit vector in the direction of $\overrightarrow{AB}$.
- Question 9 & 10, Exercise 3.2
- = Solutions of Question 9 & 10 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... at{j}+\hat{k}$, find a vector of magnitude of $6$ unit which is parallel to the vector $2\overrightarrow... 2}\\ &=\sqrt{9}=3\end{align} Let sat $\hat{a}$ be unit vector in direction of $2\overrightarrow{a}-\over
- Question 8 Exercise 3.5
- ====== Solutions of Question 8 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... ) \\ \Rightarrow V&=\dfrac{1}{6}(-2+20)=3 \text { units. }\end{align} =====Question 8(ii)===== Find the... [ 27-30-2]\\ & \Rightarrow V=-\frac{5}{6} \text { units. } \end{align} Volume can not he negative, so $V
- Question 2 and 3 Exercise 3.3
- Solutions of Question 2 and 3 of Exercise 3.3 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... Peshawar, Pakistan. =====Question 2===== Write a unit vector in the direction of the sum of the vectors... t{169}=13\end{align} Now let say $\hat{c}$ be the unit vector $x$ the sum of $\vec{a}$ and $\vec{b}$ the
- Question 9 & 10, Exercise 3.3
- = Solutions of Question 9 & 10 of Exercise 3.3 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... 1)+1(-1) \\ \Rightarrow W &=4+3 \quad 1=6 \text { units.}\end{align} =====Question 10===== Find the wo... =2.7+3 .-1+1.1 \\ \therefore W&=14-3+1=12 \text { units. }\end{align} ====Go To==== <text align="le
- Question 5 Exercise 3.4
- ====== Solutions of Question 5 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... overrightarrow{P R}|\\ &=\dfrac{30}{2}=15 \text { units square. }\end{align} =====Queswtion 5(ii)===== ... riangle }&=\dfrac{\sqrt{76}}{2}=\sqrt{19} \text { units square. }\end{align} ====Go To==== <text align
- Question 2 & 3 Review Exercise 3
- lutions of Question 2 & 3 of Review Exercise 3 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... \vec{b}=2 \hat{i}-2 \hat{j}-\hat{k}$, then find a unit vector parallel to $\vec{a}+\vec{b}$.\\ ====Solution==== Let $\hat{n}$ be unit normal in direction of $\vec{a}+\vec{b}$, then\\
- Question 8 & 9 Review Exercise 3
- lutions of Question 8 & 9 of Review Exercise 3 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... t\\ $$\text{Area of triangle} =\dfrac{7}{2}\text{ units square}$$. =====Question 9===== Find the area o... logram is: $|\vec{a} \times \vec{b}|=\sqrt{3336}$ units square. ====Go To==== <text align="left"><bt
- Question 9 Exercise 3.4
- ====== Solutions of Question 9 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... vec{d}|=\sqrt{5^2+(-12)^2+9^2}=\sqrt{110} \text { units. }$$ =====Question 9(ii)===== Find the area of ... area of parallelogram is $\dfrac{\sqrt{321}}{2}$ unit square. ====Go To==== <text align="left"><btn t
- Question 1 & 2 Exercise 3.5
- == Solutions of Question 1 & 2 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... 1-6) \\ \Rightarrow V&=6+5-21=-10 \text {. }\text{unit cub}\end{align} =====Question 2===== Find the v... V&=3(12+3)-1(-8-1)-(-6,3) \\ V&=45+9+3=57 \text { unit cube. }\end{align} ====Go To==== <text ali
- Question 6 & 7 Review Exercise 3
- lutions of Question 6 & 7 of Review Exercise 3 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... |=\dfrac{2}{3}$ and $\vec{a} \times \vec{b}$ is a unit vector. Write the angle between $\vec{a}$ and $\v... lign="left"><btn type="primary">[[math-11-kpk:sol:unit03:Review-ex3-p3 |< Question 4 & 5]]</btn></text>
- Question 3 & 4, Exercise 3.2
- == Solutions of Question 3 & 4 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa ... lign="left"><btn type="primary">[[math-11-kpk:sol:unit03:ex3-2-p2 |< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit03:ex3-2-p4|Question 5 & 6 >]]</btn></text>