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- Question 1, Exercise 3.2
- \\ &=-\hat{i}+\hat{j}\end{align} =====Question.1(ii)===== If $\vec{a}=3\hat{i}-5\hat{j}$ and $\vec{b}... } …(i)\\ |\vec{b}|&=\sqrt(-2)^2+(3)^2=\sqrt{13} …(ii)\end{align} Subtracting (i) from (ii). We get $$|\hat{a}|-|\hat{b}|=\sqrt{34}-\sqrt{13}$$ =====Quest
- 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. This is uni... a} \times \vec{b}\perp \vec{b}$. =====Question 5(ii)===== Let $\vec{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \h
- Question 3 & 4, Exercise 3.2
- nd $\hat{j}$, we have, $$p+5q=1…(i)$$ $$2p-q=-9 …(ii)$$ Multiply $2$ by (i) and subtract (ii) from (i). We have \[\begin{array}{ccc} 2p&+10q&=2 \\ \math
- Question 5(iii) & 5(iv) Exercise 3.5
- olution==== We have already calculated L.H.S in (ii) that\\ \begin{align}|\vec{a} \times \vec{b}|^2&=... h-11-kpk:sol:unit03:ex3-5-p3 |< Question 5(i) & 5(ii)]]</btn></text> <text align="right"><btn type="su
- Question 2, Exercise 3.2
- is is the required unit vector. =====Question 2(ii)===== Find unit vector having the same direction
- Question 7, Exercise 3.2
- 3$ and magnitude is $3\sqrt{2}$. =====Question 7(ii)===== Find the components and the magnitude of $\
- Question 7, Exercise 3.2
- 3$ and magnitude is $3\sqrt{2}$. =====Question 7(ii)===== Find the components and the magnitude of $\
- Question 11, Exercise 3.2
- \dfrac{27}{7}\hat{j}\end{align} =====Question 11(ii)===== Find the position vectors of the point of d
- Question 1, Exercise 3.3
- times 3)\\ & =3-4-3=-4\end{align}. =====Question(ii)===== If $\vec{a}=3 \hat{i}+4 \hat{j}-\hat{k}$, $
- Question 2 and 3 Exercise 3.3
- row \theta=90^{\prime \prime}$$. =====Question 3(ii)===== Find the angles between the pairs of vector
- Question 6 Exercise 3.3
- uad m&=\dfrac{26}{27}\end{align} =====Question 6(ii)===== Let $\vec{a}=\hat{i}+3 \hat{j}-4 \hat{k}$ a
- Question 7 & 8 Exercise 3.3
- {b}$ on $\vec{a}=\dfrac{14}{17}$ =====Question 7(ii)===== Given the vectors $\vec{a}$ and $\vec{b}$ a
- Question 11, Exercise 3.3
- m right angle with each other. =====Question 11 (ii)===== Show that $P(1,0,1), Q(1,1,1)$ and $R(1,1.0
- Question 1 Exercise 3.4
- 0) \hat{i}=3 \hat{i}.\end{align} =====Question 1(ii)===== Find the cross product $(2 \hat{i}-3 \hat{j
- Question 2 Exercise 3.4
- \vec{a} \| \vec{b} .\end{align} =====Question 2(ii)===== Show in two different ways that the vectors