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- Question 2 and 3 Exercise 3.3
- |&=\sqrt{169}=13\end{align} Now let say $\hat{c}$ be the unit vector $x$ the sum of $\vec{a}$ and $\ve... \vec{b}=-\hat{i}+\hat{j}+2 \hat{k}$. Let $\theta$ be the angle hetween $\vec{a}$ and $\vec{b}$ \begin{... $ and $\vec{b}=2 \hat{j}-5 \hat{k}$. Let $\theta$ be the angle between $\vec{a}$ and $\vec{b}$ \begin{... $\vec{b}=\hat{i}+\hat{j}+\hat{k}$. Let $\theta$ be the angle between $\vec{a}$ and $\vec{b}$ then $$
- Question 7 & 8 Exercise 3.4
- at{j}-3 \hat{k}$\\ ====Solution==== Let $\hat{n}$ be unit vector perpendicular to both $\vec{a}$ and $... {k} \text {. }$$ =====Solution===== Let $\hat{n}$ be unil vector perpendicular to both $\vec{a}$ and $... hat{k}}{\sqrt{65}} .\end{align} Now let $\vec{c}$ be a vector perpendicular to both and having magnitu
- Question 11, Exercise 3.2
- $\overrightarrow{OD}=4\hat{i}+\hat{j}$ Let $H$ be the point divides the line segment $\overline{CD}... $\overrightarrow{OF}=3\hat{i}+2\hat{j}$ Let $K$ be the point with position vector $\overrightarrow{O
- Question 3 Exercise 3.4
- +\hat{j}-\hat{k}$. ====Solution==== Let $\hat{n}$ be unit vector orthogonal to both $\vec{a}$ and $\ve... 4 \hat{j}+\hat{k}$ ====Solution==== Let $\hat{n}$ be unit vector orthogonal to buth $\vec{a}$ and $\ve
- Question 5 Exercise 3.4
- 1,-8)$ ====Solution==== Let $P Q$ and $\bar{P} R$ be the adjacent sides of parallelogram determined, s... $\overrightarrow{P Q}$ and $\overrightarrow{P R}$ be the adjacent sides of parallelogram determined, s
- Question 5 & 6, Exercise 3.2
- \sqrt{116} = 2\sqrt{29}.\end{align} Let $\hat{r}$ be unit vector in the direction of $\overrightarrow{
- Question 9 & 10, Exercise 3.2
- 2)^2}\\ &=\sqrt{9}=3\end{align} Let sat $\hat{a}$ be unit vector in direction of $2\overrightarrow{a}-
- Question 6 Exercise 3.4
- he point $(1,2,1)$ ====Solution==== Let $\vec{r}$ be the position vector of point $P(1,-2,2)$ relative
- Question 1 & 2 Exercise 3.5
- +3)-1(-8-1)-(-6,3) \\ V&=45+9+3=57 \text { unit cube. }\end{align} ====Go To==== <text align="r
- Question 8 Exercise 3.5
- can not he negative, so $V: \dfrac{5}{6}$ units cube. ====Go To==== <text align="left"><btn type=
- Question 1 Review Exercise 3
- sed="true">(a): $0$</collapse> viii. If $\theta$ be the angel between any two vectors $\vec{a}$ and $
- Question 2 & 3 Review Exercise 3
- vec{a}+\vec{b}$.\\ ====Solution==== Let $\hat{n}$ be unit normal in direction of $\vec{a}+\vec{b}$, th
- Question 6 & 7 Review Exercise 3
- {a}$ and $\vec{b}$. ====Solution==== Let $\theta$ be the angle between two vectors. We are given\\ $$|