Question

Calculate the value of k cap. Î cap​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{\hat{i}\;}\textsf{and}\;\mathsf{\hat{k}\;}$

$\underline{\textsf{To find:}}$

$\mathsf{\hat{k}.\hat{i}}$

$\underline{\textsf{Solution:}}$

$\textsf{Concept:}$

$\textsf{The scalar product of two vectors is}$

$\boxed{\mathsf{\vec{a}.\vec{b}=|\vec{a}|\;|\vec{b}|\;cos\theta}}$

$\textsf{We know that,}$

$\mathsf{\hat{i}}\;\textsf{and}\;\mathsf{\hat{k}}\;\textsf{are unit vectors along x and z axis}$

$\textsf{Now,}$

$\mathsf{\hat{k}.\hat{i}}$

$\mathsf{=|\hat{k}|\;|\hat{i}|\;cos90^{\circ}}$

$\mathsf{=(1)(1)(0)}$

$\mathsf{=0}$

$\underline{\textsf{Answer:}}$

$\mathsf{\hat{k}.\hat{i}=0}$

Answer 2

Answer:

k cap is value of z axis. I cap • k cap=0

Step-by-step explanation:

i cap is value of x axis.

j cap is value of y axis.

k cap is value of z axis.

I cap • k cap=0