Question

k cap cross i cap =?????​

Answer 1

Answer:

Hi there!!!

Explanation:

ANSWER= J cap

SOME KNOWLEGDE

DOT VECTOR

In Dot vector, i cap. i cap= 1

similarly for other caps but if

icap.jcap or any other diffrent cap combination

ans=0 Beacuse they are mutually perpendicular thus cos thita= 90 degrees= 0

CROSS VECTOR

In the case for cross vector we always use right hand thumb rule WHERE we curl up fingers towards the given cap cross and where the direction of thumb represents the answer cap

EXAMPLE

i cap cross i cap=

0 because of sin 0 degree

i cap cross j cap =

place ur fingers starting from i cap and rolling towards j cap this your thumb points outside towards k cap

HAVE A GOOD DAY

Answer 2

SOLUTION

TO DETERMINE

$\hat{k} \times \hat{i}$

EVALUATION

Here the given expression is

$\hat{k} \times \hat{i}$

We find the value as below

$\hat{k} \times \hat{i}$

$\displaystyle = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ \\ 0 & 0 & 1 \\ \\ 1& 0 & 0 \end{vmatrix}$

$\displaystyle = \hat{i}(0 - 0) - \hat{j} (0 - 1) + \hat{k}(0 - 0)$

$\displaystyle = \hat{j}$

FINAL ANSWER

$\hat{k} \times \hat{i} = \hat{j}$

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