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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 10 Review Exercise 3
- ====== Question 10 Review Exercise 3 ====== Solutions of Question 10 of Review Exercise 3 of Unit 03: Vectors. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 10(i)===== Prove that in any triangle $A B C$ tha... 2 - 2|\vec{b}||\vec{c}| \cos A .\end{align} =====Question 10(ii)===== Prove that in any triangle $A B C$ th
- Question 8 & 9 Review Exercise 3
- ====== Question 8 & 9 Review Exercise 3 ====== Solutions of Question 8 & 9 of Review Exercise 3 of Unit 03: Vectors. This i... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8===== Find the area of triangle whose vertices a... angle} =\dfrac{7}{2}\text{ units square}$$. =====Question 9===== Find the area of parallelogram with vertic
- Question 6 & 7 Review Exercise 3
- ====== Question 6 & 7 Review Exercise 3 ====== Solutions of Question 6 & 7 of Review Exercise 3 of Unit 03: Vectors. This i... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6===== Find $\lambda$. if the veclors $\vec{a}=\h... quad \lambda&=\dfrac{21}{3}=7 .\end{align} =====Question 7===== Vector $\vec{a}$ and $\vec{b}$ are such th
- Question 2 & 3 Review Exercise 3
- ====== Question 2 & 3 Review Exercise 3 ====== Solutions of Question 2 & 3 of Review Exercise 3 of Unit 03: Vectors. This i... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Find $\lambda$ and $\mu$ if\\ $$(\hat{i}+3... u=27 \text { and } \lambda&=-9 .\end{align} =====Question 3===== If $\vec{a}=9 \hat{i}-\hat{j}+\hat{k}$ and
- Question 4 & 5 Review Exercise 3
- ====== Question 4 & 5 Review Exercise 3 ====== Solutions of Question 4 & 5 of Review Exercise 3 of Unit 03: Vectors. This i... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4===== If $\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}$... mes \hat{j})+x y & =-x y+x y=0 .\end{align} =====Question 5===== If $\vec{a}=7 \hat{i}-\hat{j}-4 \hat{k}$ a
- Question 1 Review Exercise 3
- ====== Question 1 Review Exercise 3 ====== Solutions of Question 1 of Review Exercise 3 of Unit 03: Vectors. This is unit o... Board (KPTB or KPTBB) Peshawar, Pakistan. ===== Question 1 ===== Chose the correct option. <panel> i. The... gn="right"><btn type="success">[[math-11-kpk:sol:unit03:Review-ex3-p2|Question 2 & 3 >]]</btn></text>
- Question 9 Exercise 3.5
- ====== Question 9 Exercise 3.5 ====== Solutions of Question 9 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbo... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 9 (i)===== Write the value of $(\hat{i} \times \h... cdot \hat{k}+\hat{i} \cdot \hat{j}=1+0=1$$. =====Question 9 (ii)===== Write the value of $(\hat{k} \times \
- 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 8 Exercise 3.5
- ====== Question 8 Exercise 3.5 ====== Solutions of Question 8 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbo... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Find the volume of tetrahedron with the... {1}{6}(-2+20)=3 \text { units. }\end{align} =====Question 8(ii)===== Find the volume of tetrahedron with $A
- Question 6 Exercise 3.5
- ====== Question 6 Exercise 3.5 ====== Solutions of Question 6 of Exercise 3.5 of Unit 03: Vectors. This is unit of A Textbo... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6===== Do the points $(4. 2.1)$, $(5,1,6)$, $(2.2... pe="primary">[[math-11-kpk:sol:unit03:ex3-5-p4 |< Question 5(iii) & 5(iv)]]</btn></text> <text align="right"
- Question 5(iii) & 5(iv) Exercise 3.5
- ====== Question 5(iii) & 5(iv) Exercise 3.5 ====== Solutions of Question 5(iii) & 5(iv) of Exercise 3.5 of Unit 03: Vectors... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(iii)===== Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+... |\vec{b}|^2&=b_1^2+b_2^2+b_3^2 .\end{align} =====Question 5(iv)===== Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a
- Question 5(i) & 5(ii) Exercise 3.5
- ====== Question 5(i) & 5(ii) Exercise 3.5 ====== Solutions of Question 5(i) & 5(ii) of Exercise 3.5 of Unit 03: Vectors. Th... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_... that $\vec{a} \times \vec{b}\perp \vec{b}$. =====Question 5(ii)===== Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a
- Question 3 & 4 Exercise 3.5
- ====== Question 3 & 4 Exercise 3.5 ====== Solutions of Question 3 & 4 of Exercise 3.5 of Unit 03: Vectors. This is unit of ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== For the vectors $\vec{a}=3 \hat{i}+2 \hat{... c}=\vec{c} \times \vec{b} \cdot \vec{a} .$$ =====Question 4===== Verify that the triple product of $\hat{i}
- Question 9 Exercise 3.4
- ====== Question 9 Exercise 3.4 ====== Solutions of Question 9 of Exercise 3.4 of Unit 03: Vectors. This is unit of A Textbo... Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 9(i)===== Find the area of parallelogram whose di... +(-12)^2+9^2}=\sqrt{110} \text { units. }$$ =====Question 9(ii)===== Find the area of parallelogram whose d
- Question 1 & 2 Exercise 3.5
- ====== Question 1 & 2 Exercise 3.5 ====== Solutions of Question 1 & 2 of Exercise 3.5 of Unit 03: Vectors. This is unit of ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1===== Find $\vec{a} \cdot \vec{b} \times \vec{c}... 1=-10 \text {. }\text{unit cub}\end{align} =====Question 2===== Find the volume of the parallelopiped whos