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তপন স্যার
HSC - পদার্থ বিজ্ঞান ১ম পত্র
→
অধ্যায়-০২ঃ ভেক্টর
→
একক ভেক্টর
আয়ত একক ভেক্টরের ক্ষেত্রে—
i.
i
^
⋅
j
^
=
i
^
⋅
k
^
=
k
^
⋅
i
^
=
0
\text { i. } \hat{\mathrm{i}} \cdot \hat{\mathrm{j}}=\hat{\mathrm{i}} \cdot \hat{\mathrm{k}}=\hat{\mathrm{k}} \cdot \hat{\mathrm{i}}=0
i.
i
^
⋅
j
^
=
i
^
⋅
k
^
=
k
^
⋅
i
^
=
0
ii.
i
^
⋅
i
^
=
j
^
⋅
j
^
=
k
^
⋅
k
^
=
1
\text { ii. } \hat{\mathrm{i}} \cdot \hat{\mathrm{i}}=\hat{\mathrm{j}} \cdot \hat{\mathrm{j}}=\hat{\mathrm{k}} \cdot \hat{\mathrm{k}}=1
ii.
i
^
⋅
i
^
=
j
^
⋅
j
^
=
k
^
⋅
k
^
=
1
iii.
i
^
×
i
^
=
j
^
×
j
^
=
k
^
×
k
^
=
0
→
\text { iii. } \hat{\mathbf{i}} \times \hat{\mathrm{i}}=\hat{\mathrm{j}} \times \hat{\mathrm{j}}=\hat{\mathrm{k}} \times \hat{\mathrm{k}}=\overrightarrow{0}
iii.
i
^
×
i
^
=
j
^
×
j
^
=
k
^
×
k
^
=
0
নিচের কোনটি সঠিক?
A.
i ও ii
B.
i ও iii
C.
ii ও iii
D.
i, ii ও iii
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