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Vector Calculus
Let
A=x^2yi−2xzj+2yzk
, find Curl curl A.
3j+4k
2x+2)k
(2x+2)j
3j−4k
A=x^2yi−2xzj+2yzk
, find Curl curl A.
3j+4k
2x+2)k
(2x+2)j
3j−4k
Vector Calculus
Let
ϕ=2x^z^4−x^2y
,find
|▽ϕ|
5(√97)
3(√112)
(√105)
2(√93)
ϕ=2x^z^4−x^2y
,find
|▽ϕ|
5(√97)
3(√112)
(√105)
2(√93)
Vector Calculus
4 Evaluate
(A+B).(A−B)
if
A=2i−3j+5k
and
B=3i+j−2k
20
22
24
26
(A+B).(A−B)
if
A=2i−3j+5k
and
B=3i+j−2k
20
22
24
26
Vector Calculus
Find the gradient of the scalar field
ϕ=xy2z3
y2z3i+2xyz3j+3xy2z2k
y2z3i+2xy2z3j+3xy2z3k
y2z3i+xyz3j+xy2z2k
y2z3+2xyz3+3xy2z2
ϕ=xy2z3
y2z3i+2xyz3j+3xy2z2k
y2z3i+2xy2z3j+3xy2z3k
y2z3i+xyz3j+xy2z2k
y2z3+2xyz3+3xy2z2
Vector Calculus
Let
A=i+3j−2k
and
B=4i−2j+4k
, find
(2A+B)(˙A−2B)
-14
-21
-10
-5
A=i+3j−2k
and
B=4i−2j+4k
, find
(2A+B)(˙A−2B)
-14
-21
-10
-5
Vector Calculus
Simplify
(A+B).(B+C)×(C+A)
a). B×C
b). 2.A×B
c). 2.A×C
d). A×B×C
(A+B).(B+C)×(C+A)
a). B×C
b). 2.A×B
c). 2.A×C
d). A×B×C
Vector Calculus
Let
A=i−2j−3k
,
B=2i+3j+k
and
C=i+3j−2k
, compute
A.(B×C)
15
5
10
20
A=i−2j−3k
,
B=2i+3j+k
and
C=i+3j−2k
, compute
A.(B×C)
15
5
10
20
Vector Calculus
If
A=i−2j−3k
,
B=2i+3j+k
and
C=i+3j−2k
, compute
|(A×B)×C|
2(√2)
5(√26)
3(√21)
4(√11)
A=i−2j−3k
,
B=2i+3j+k
and
C=i+3j−2k
, compute
|(A×B)×C|
2(√2)
5(√26)
3(√21)
4(√11)
Vector Calculus
Evaluate
|(A+B).(A−B)|
if
A=2i−3j+5k
and
B=3i+j−2k
√24
√240
√530
√525
|(A+B).(A−B)|
if
A=2i−3j+5k
and
B=3i+j−2k
√24
√240
√530
√525
Vector Calculus
4 Evaluate
(A+B).(A−B)
if
A=2i−3j+5k
and
B=3i+j−2k
20
22
24
26
(A+B).(A−B)
if
A=2i−3j+5k
and
B=3i+j−2k
20
22
24
26
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#339914 on Dec 2023
#339914 on Dec 2023