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Vector Algebra (Weightage 5%)
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Topics from Vector Algebra

Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space (34 concepts)
Scalar and vector products, scalar and vector triple product (70 concepts)
Introduction to 3-D Geometry (1 concepts)
Vector Algebra (9 concepts)
Scalar and Vector Product of Vector Algebra (11 concepts)

Important Books for Vector Algebra

Previous Year Question For Vector Algebra

If the vectors, $\overrightarrow{p}=\left ( a+1 \right )\widehat{i}+a\widehat{j}+a\hat{k},\: \vec{q=a\hat{i}}+(a+1)\hat{j}+a\hat{k}\: \: \: and\: \: \: \vec{r}=a\hat{i}+a\hat{j}+(a+1)\hat{k}\: \: \: \: (a\epsilon R)$ are coplanar and $3\left ( \vec{p}\cdot \vec{q} \right )^{2}-\lambda \left | \vec{r}\times \vec{q} \right |^{2}=0,$ then the value of $\lambda$ is _____________.
Let the volume of a parallelopiped whose coterminous edges are given by $\vec{u}=\widehat{i}+\widehat{j}+\lambda \widehat{k},\vec{v}=\widehat{i}+\widehat{j}+3\widehat{k}$ and $\vec{w}=2\widehat{i}+\widehat{j}+\widehat{k}$ be 1 cu. unit. If $\theta$ be the angle between the edges $\vec{u}$ and $\vec{w},$ then $\cos \theta$ can be :
Let $\vec{a}=\hat{i}-2\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$ be two vectors. If $\vec{c}$ is a vector such that $\vec{b}\times \vec{c}=\vec{b}\times \vec{a}$ and $\vec{c}\cdot \vec{a}=0,$ then $\vec{c}\cdot \vec{b}$ is equal to :

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