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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 1, Exercise 3.2
- ====== Question 1, Exercise 3.2 ====== Solutions of Question 1 of Exercise 3.2 of Unit 03: Matrices and Determinants. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question.1(i)===== If $\vec{a}=3\hat{i}-5\hat{j}$ and $\ve... i}+6\hat{j}\\ &=-\hat{i}+\hat{j}\end{align} =====Question.1(ii)===== If $\vec{a}=3\hat{i}-5\hat{j}$ and $\v
- Question 2, Exercise 3.2
- ====== Question 2, Exercise 3.2 ====== Solutions of Question 2 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textb... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Find unit vector having the same direct... at{i}$$ This is the required unit vector. =====Question 2(ii)===== Find unit vector having the same direc
- Question 7, Exercise 3.2
- ====== Question 7, Exercise 3.2 ====== Solutions of Question 7 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textb... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Find the components and the magnitude o... are $3$, $-3$ and magnitude is $3\sqrt{2}$. =====Question 7(ii)===== Find the components and the magnitude
- Question 7, Exercise 3.2
- ====== Question 7, Exercise 3.2 ====== Solutions of Question 7 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Textb... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Find the components and the magnitude o... are $3$, $-3$ and magnitude is $3\sqrt{2}$. =====Question 7(ii)===== Find the components and the magnitude
- Question 2 and 3 Exercise 3.3
- ====== Question 2 and 3 Exercise 3.3 ====== Solutions of Question 2 and 3 of Exercise 3.3 of Unit 03: Vectors. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Write a unit vector in the direction of th... 13}(4\hat{i}+3\hat{j}-12\hat{k})\end{align} =====Question 3(i)===== Find the angles between the pairs of ve
- Question 12, 13 & 14, Exercise 3.2
- ====== Question 12, 13 & 14, Exercise 3.2 ====== Solutions of Question 12, 13 & 14 of Exercise 3.2 of Unit 03: Vectors. Thi... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 12===== Find $\alpha ,$ so that $|\alpha \hat{i}+... or $\alpha =-2$, no real value of $\alpha$ =====Question 13===== If $\overrightarrow{u}=2\hat{i}+3\hat{j}+
- Question 1, Exercise 3.3
- ====== Question 1, Exercise 3.3 ====== Solutions of Question 1 of Exercise 3.3 of Unit 03: Vectors. This is unit of A Textb... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== If $\vec{a}=3 \hat{i}+4 \hat{j}-\hat{k}... -1)+(-1 \times 3)\\ & =3-4-3=-4\end{align}. =====Question(ii)===== If $\vec{a}=3 \hat{i}+4 \hat{j}-\hat{k}$
- Question 7 & 8 Exercise 3.3
- ====== Question 7 & 8 Exercise 3.3 ====== Solutions of Question 7 & 8 of Exercise 3.3 of Unit 03: Vectors. This is unit of ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Given the vectors $\vec{a}$ and $\vec{b... on of $\vec{b}$ on $\vec{a}=\dfrac{14}{17}$ =====Question 7(ii)===== Given the vectors $\vec{a}$ and $\vec{
- Question 4 Exercise 3.4
- ====== Question 4 Exercise 3.4 ====== Solutions of Question 4 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbo... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4(i)===== If $\vec{a}=3 \hat{i}-6 \hat{j}+5 \hat{... 19 \hat{i}-2 \hat{j}+9 \hat{k} .\end{align} =====Question 4(ii)===== If $\vec{a}=3 \hat{i}-6 \hat{j}+5 \hat
- Question 7 & 8 Exercise 3.4
- ====== Question 7 & 8 Exercise 3.4 ====== Solutions of Question 7 & 8 of Exercise 3.4 of Unit 03: Vectors. This is unit of ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7===== If $\vec{A}+\vec{B}+\vec{C}=\vec{O}$, show... ec{C}=\vec{C} \times \vec{A} \text {. }$$\\ =====Question 8 (i)===== Find a unit vector perpendicular to bo
- Question 7 Exercise 3.5
- ====== Question 7 Exercise 3.5 ====== Solutions of Question 7 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbo... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== For what value of $c$ the following vec... or which the given vectors become coplanar. =====Question 7(ii)===== For what value of $c$ the following ve
- Question 3 & 4, Exercise 3.2
- ====== Question 3 & 4, Exercise 3.2 ====== Solutions of Question 3 & 4 of Exercise 3.2 of Unit 03: Vectors. This is unit of... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== If $\vec{r}=\hat{i}-9\hat{j}$, $\vec{a}=\h... lies p=-4$$ Hence we have $p=-4$ and $q=1$. =====Question 4===== If $\vec{p}=2\hat{i}-\hat{j}$ and $\vec{q}
- Question 5 & 6, Exercise 3.2
- ====== Question 5 & 6, Exercise 3.2 ====== Solutions of Question 5 & 6 of Exercise 3.2 of Unit 03: Vectors. This is unit of... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5===== Find the length of the vector $\overrighta... t{29}}\hat{i}+\dfrac{2}{\sqrt{29}}\hat{j}$. =====Question 6===== If $ABCD$ is the parallelogram such that t
- Question 9 & 10, Exercise 3.2
- ====== Question 9 & 10, Exercise 3.2 ====== Solutions of Question 9 & 10 of Exercise 3.2 of Unit 03: Vectors. This is unit ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 9===== If $\overrightarrow{a}=\hat{i}+\hat{j}+\ha... is a desired vector with given conditions. =====Question 10===== Find the position vector of a point $R$ w
- Question 11, Exercise 3.2
- ====== Question 11, Exercise 3.2 ====== Solutions of Question 11 of Exercise 3.2 of Unit 03: Vectors. This is unit of A Tex... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 11(i)===== Find the position vectors of the point... }{7}\hat{i}+\dfrac{27}{7}\hat{j}\end{align} =====Question 11(ii)===== Find the position vectors of the poin