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Vector Algebra (Weightage 4%)
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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

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 :
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 the position vector S of point A and B be $\widehat{i}+\widehat{j}+\widehat{k}$ and $\widehat{2i}-\widehat{j}-\widehat{3k}$ respectively. A point 'p' divides the line segment AB intervally in the ratio $\lambda : 1(\lambda ,0)$ if O is the origin and $\overrightarrow{OB}.\overrightarrow{OP}-3\left | \overrightarrow{OA}\times \overrightarrow{OP} \right |^{2}=6$ then $\lambda$ is equal to _______________

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