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NDA · Maths · Vectors
NDA Vectors — Formulas 1
Question
1
of 13
1.
A vector of magnitude
r
r
r
with direction cosines
cos
α
,
cos
β
,
cos
γ
\cos\alpha, \cos\beta, \cos\gamma
cos
α
,
cos
β
,
cos
γ
is:
A
r
(
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
)
r(\cos\alpha\,\hat{i} + \cos\beta\,\hat{j} + \cos\gamma\,\hat{k})
r
(
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
)
B
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
\cos\alpha\,\hat{i} + \cos\beta\,\hat{j} + \cos\gamma\,\hat{k}
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
C
r
(
sin
α
i
^
+
sin
β
j
^
+
sin
γ
k
^
)
r(\sin\alpha\,\hat{i} + \sin\beta\,\hat{j} + \sin\gamma\,\hat{k})
r
(
sin
α
i
^
+
sin
β
j
^
+
sin
γ
k
^
)
D
1
r
(
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
)
\dfrac{1}{r}(\cos\alpha\,\hat{i} + \cos\beta\,\hat{j} + \cos\gamma\,\hat{k})
r
1
(
cos
α
i
^
+
cos
β
j
^
+
cos
γ
k
^
)
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